查找系列1、8、54、384的第n项…-yiteyi-C++库

给定一个数字N。任务是编写一个程序，在下面的系列中查找第N项：

null

1, 8, 54, 384...

例如：

Input : 3Output : 54For N = 3Nth term = ( 3*3) * 3!         = 54Input : 2 Output : 8

推荐：请尝试你的方法 {IDE} 首先，在进入解决方案之前。

仔细观察，上述系列中的第n项可概括为：

Nth term = ( N*N ) * ( N! )

以下是上述方法的实施情况：

C++

                         // CPP program to find N-th term of the series:                       
                         // 1, 8, 54, 384...                       
                         #include <iostream>                       
                         using                                     namespace                                     std;                       
           
                         // calculate factorial of N                       
                         int                                     fact(                                     int                                     N)                       
                         {                       
                                                 int                                     i, product = 1;                       
                                                 for                                     (i = 1; i <= N; i++)                       
                                                 product = product * i;                       
                                                 return                                     product;                       
                         }                       
           
                         // calculate Nth term of series                       
                         int                                     nthTerm(                                     int                                     N)                       
                         {                       
                                                 return                                     (N * N) * fact(N);                       
                         }                       
           
                         // Driver Function                       
                         int                                     main()                       
                         {                       
                                                 int                                     N = 4;                       
           
                                                 cout << nthTerm(N);                       
           
                                                 return                                     0;                       
                         }                       

JAVA

                         // Java program to find N-th term of the series:                       
                         // 1, 8, 54, 384...                       
           
                         import                                     java.io.*;                       
           
                         // Main class for main method                       
                         class                                     GFG {                       
                                                 public                                     static                                     int                                     fact(                                     int                                     N)                       
                                                 {                       
                                                 int                                     i, product =                                     1                                     ;                       
                                                 // Calculate factorial of N                       
                                                 for                                     (i =                                     1                                     ; i <= N; i++)                       
                                                 product = product * i;                       
                                                 return                                     product;                       
                                                 }                       
                                                 public                                     static                                     int                                     nthTerm(                                     int                                     N)                       
                                                 {                       
                                                 // By using above formula                       
                                                 return                                     (N * N) * fact(N);                       
                                                 }                       
           
                                                 public                                     static                                     void                                     main(String[] args)                       
                                                 {                       
                                                 int                                     N =                                     4                                     ;                                     // 4th term is 384                       
           
                                                 System.out.println(nthTerm(N));                       
                                                 }                       
                         }                       

Python 3

                         # Python 3 program to find                       
                         # N-th term of the series:                       
                         # 1, 8, 54, 384...                       
           
                         # calculate factorial of N                       
                         def                                     fact(N):                       
                                   
                                                 product                                     =                                     1                       
                                                 for                                     i                                     in                                     range                                     (                                     1                                     , N                                     +                                     1                                     ):                       
                                                 product                                     =                                     product                                     *                                     i                       
                                                 return                                     product                       
           
                         # calculate Nth term of series                       
                         def                                     nthTerm(N):                       
                                                 return                                     (N                                     *                                     N)                                     *                                     fact(N)                       
           
                         # Driver Code                       
                         if                                     __name__                                     =                                     =                                     "__main__"                                     :                       
                                                 N                                     =                                     4                       
                                                 print                                     (nthTerm(N))                       
           
                         # This code is contributed                       
                         # by ChitraNayal                       

C#

                         // C# program to find N-th                       
                         // term of the series:                       
                         // 1, 8, 54, 384...                       
                         using                                     System;                       
           
                         class                                     GFG                       
                         {                       
                         public                                     static                                     int                                     fact(                                     int                                     N)                       
                         {                       
                                                 int                                     i, product = 1;                       
                                   
                                                 // Calculate factorial of N                       
                                                 for                                     (i = 1; i <= N; i++)                       
                                                 product = product * i;                       
                                                 return                                     product;                       
                         }                       
           
                         public                                     static                                     int                                     nthTerm(                                     int                                     N)                       
                         {                       
                                                 // By using above formula                       
                                                 return                                     (N * N) * fact(N);                       
                         }                       
           
                         // Driver Code                       
                         public                                     static                                     void                                     Main(String[] args)                       
                         {                       
                                                 int                                     N = 4;                                     // 4th term is 384                       
           
                                                 Console.WriteLine(nthTerm(N));                       
                         }                       
                         }                       
           
                         // This code is contributed                       
                         // by Kirti_Mangal                       

PHP

                         <?php                       
                         // PHP program to find N-th                       
                         /// term of the series:                       
                         // 1, 8, 54, 384...                       
           
                         // calculate factorial of N                       
                         function                                     fact(                                     $N                                     )                       
                         {                       
                                                 $product                                     = 1;                       
                                                 for                                     (                                     $i                                     = 1;                                     $i                                     <=                                     $N                                     ;                                     $i                                     ++)                       
                                                 $product                                     =                                     $product                                     *                                     $i                                     ;                       
                                                 return                                     $product                                     ;                       
                         }                       
           
                         // calculate Nth term of series                       
                         function                                     nthTerm(                                     $N                                     )                       
                         {                       
                                                 return                                     (                                     $N                                     *                                     $N                                     ) * fact(                                     $N                                     );                       
                         }                       
           
                         // Driver Code                       
                         $N                                     = 4;                       
           
                         echo                                     nthTerm(                                     $N                                     );                       
           
                         // This code is contributed                       
                         // by ChitraNayal                       
                         ?>                       

Javascript

                         <script>                       
           
                         // JavaScript program to find N-th term of the series:                       
                         // 1, 8, 54, 384...                       
           
                         // calculate factorial of N                       
                         function                                     fact( N)                       
                         {                       
                                                 let i, product = 1;                       
                                                 for                                     (i = 1; i <= N; i++)                       
                                                 product = product * i;                       
                                                 return                                     product;                       
                         }                       
           
                         // calculate Nth term of series                       
                         function                                     nthTerm( N)                       
                         {                       
                                                 return                                     (N * N) * fact(N);                       
                         }                       
           
                         // Driver Function                       
           
                                                 let N = 4;                       
                                                 document.write(nthTerm(N));                       
                                   
                         // This code contributed by Rajput-Ji                       
           
                         </script>                       

输出：

时间复杂性： O（N）

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