程序查找系列1+1/2+1/3+1/4+1/n-yiteyi-C++库

若一个序列的逆函数遵循a.P.e.的规则，即算术级数，那个么它被称为调和级数。一般来说，调和级数中的项可以表示为：1/a，1/（a+d），1/（a+2d），1/（a+3d）…。1/（a+nd）。 As AP的第n项表示为（a+（n–1）d）。因此，调和级数的第n项是AP的第n项的倒数，即：1/（a+（n–1）d）其中“a”是AP的第一项，“d”是共同的区别。我们可以使用for循环来求和。

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C++

                         // C++ program to find sum of series                       
                         #include <iostream>                       
                         using                                     namespace                                     std;                       
           
                         // Function to return sum of                       
                         // 1/1 + 1/2 + 1/3 + ..+ 1/n                       
                         class                                     gfg                       
                         {                       
                                   
                         public                                     :                                     double                                     sum(                                     int                                     n)                       
                         {                       
                                                 double                                     i, s = 0.0;                       
                                                 for                                     (i = 1; i <= n; i++)                       
                                                 s = s + 1/i;                       
                                                 return                                     s;                       
                         }                       
                         };                       
           
                         // Driver code                       
                         int                                     main()                       
                         {                       
                                                 gfg g;                       
                                                 int                                     n = 5;                       
                                                 cout <<                                     "Sum is "                                     << g.sum(n);                       
                                                 return                                     0;                       
                         }                       
           
                         // This code is contributed by SoM15242.                       

C

                         // C program to find sum of series                       
                         #include <stdio.h>                       
           
                         // Function to return sum of 1/1 + 1/2 + 1/3 + ..+ 1/n                       
                         double                                     sum(                                     int                                     n)                       
                         {                       
                                                 double                                     i, s = 0.0;                       
                                                 for                                     (i = 1; i <= n; i++)                       
                                                 s = s + 1/i;                       
                                                 return                                     s;                       
                         }                       
           
                         int                                     main()                       
                         {                       
                                                 int                                     n = 5;                       
                                                 printf                                     (                                     "Sum is %f"                                     , sum(n));                       
                                                 return                                     0;                       
                         }                       

JAVA

                         // Java Program to find sum of series                       
                         import                                     java.io.*;                       
           
                         class                                     GFG {                       
                                   
                                                 // Function to return sum of                       
                                                 // 1/1 + 1/2 + 1/3 + ..+ 1/n                       
                                                 static                                     double                                     sum(                                     int                                     n)                       
                                                 {                       
                                                 double                                     i, s =                                     0.0                                     ;                       
                                                 for                                     (i =                                     1                                     ; i <= n; i++)                       
                                                 s = s +                                     1                                     /i;                       
                                                 return                                     s;                       
                                                 }                       
                                   
                                   
                                                 // Driven Program                       
                                                 public                                     static                                     void                                     main(String args[])                       
                                                 {                       
                                                 int                                     n =                                     5                                     ;                       
                                                 System.out.printf(                                     "Sum is %f"                                     , sum(n));                       
                                   
                                                 }                       
                         }                       
           
                         // This code is contributed by Nikita Tiwari.                       

Python3

                         # Python program to find the sum of series                       
           
                         def                                     sum                                     (n):                       
                                                 i                                     =                                     1                       
                                                 s                                     =                                     0.0                       
                                                 for                                     i                                     in                                     range                                     (                                     1                                     , n                                     +                                     1                                     ):                       
                                                 s                                     =                                     s                                     +                                     1                                     /                                     i;                       
                                                 return                                     s;                       
           
                         # Driver Code                       
                         n                                     =                                     5                       
                         print                                     (                                     "Sum is"                                     ,                                     round                                     (                                     sum                                     (n),                                     6                                     ))                       
           
                         # This code is contributed by Chinmoy Lenka                       

C#

                         // C# Program to find sum of series                       
                         using                                     System;                       
           
                         class                                     GFG {                       
                                   
                                                 // Function to return sum of                       
                                                 // 1/1 + 1/2 + 1/3 + ..+ 1/n                       
                                                 static                                     float                                     sum(                                     int                                     n)                       
                                                 {                       
                                                 double                                     i, s = 0.0;                       
                                   
                                                 for                                     (i = 1; i <= n; i++)                       
                                                 s = s + 1/i;                       
                                   
                                                 return                                     (                                     float                                     )s;                       
                                                 }                       
           
                                   
                                                 // Driven Program                       
                                                 public                                     static                                     void                                     Main()                       
                                                 {                       
                                                 int                                     n = 5;                       
                                   
                                                 Console.WriteLine(                                     "Sum is "                       
                                                 + sum(n));                       
                                   
                                                 }                       
                         }                       
           
                         // This code is contributed by vt_m.                       

PHP

                         <?php                       
                         // PHP program to find sum of series                       
           
                         // Function to return sum of                       
                         // 1/1 + 1/2 + 1/3 + ..+ 1/n                       
                         function                                     sum(                                     $n                                     )                       
                         {                       
                                                 $i                                     ;                       
                                                 $s                                     = 0.0;                       
                                                 for                                     (                                     $i                                     = 1;                                     $i                                     <=                                     $n                                     ;                                     $i                                     ++)                       
                                                 $s                                     =                                     $s                                     + 1 /                                     $i                                     ;                       
                                                 return                                     $s                                     ;                       
                         }                       
           
                                                 // Driver Code                       
                                                 $n                                     = 5;                       
                                                 echo                                     (                                     "Sum is "                                     );                       
                                                 echo                                     (sum(                                     $n                                     ));                       
                                   
                         //This code is contributed by vt_m                       
                         ?>                       

Javascript

                         <script>                       
                         // javascript Program to find sum of series                       
                                   
                         // Function to return sum of                       
                         // 1/1 + 1/2 + 1/3 + ..+ 1/n                       
                         function                                     sum(n)                       
                         {                       
                                                 var                                     i, s = 0.0;                       
                                                 for                                     (i = 1; i <= n; i++)                       
                                                 s = s + 1/i;                       
                                                 return                                     s;                       
                         }                       
                                   
                         // Driven Program                       
                         var                                     n = 5;                       
                         document.write(sum(n).toFixed(5));                       
           
                         // This code is contributed by Amit Katiyar                       
                         </script>                       

输出：

2.283333

时间复杂性： O（n）

辅助空间： O（1）

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