计算可被另一个数组中至少一个元素整除的元素

给定两个数组arr1[]和arr2[]。任务是找到第一个数组中至少有一个因子存在于第二个数组中的此类元素的计数。 例子 :

null
Input : arr1[] = {10, 2, 13, 4, 15} ; arr2[] = {2, 4, 5, 6}Output : 4There is no factor of 13 which is present in the second array. Except 13, factors of the rest 4 elements of the first array is present in the second array.Input : arr1[] = {11, 13, 17, 15} ; arr2[] = {3, 7, 9, 5}Output : 1

其思想是将第二个数组的所有元素插入到一个散列中,这样就可以在固定时间内完成因子的查找。现在,遍历第一个数组,并为每个元素 从1开始生成所有因子 并检查散列中是否存在任何因素。 以下是上述方法的实施情况:

C++

// CPP program to find count of
// elements in first array whose
// atleast one factor is present
// in second array.
#include <bits/stdc++.h>
using namespace std;
// Util function to count the elements
// in first array whose atleast
// one factor is present in second array
int elementCount( int arr1[], int n1, int arr2[], int n2)
{
// counter to count number of elements
int count = 0;
// Hash of second array elements
unordered_set< int > hash;
for ( int i = 0; i < n2; i++)
hash.insert(arr2[i]);
// loop to traverse through array elements
// and check for its factors
for ( int i = 0; i < n1; i++) {
// generate factors of elements
// of first array
for ( int j = 1; j * j <= arr1[i]; j++) {
// Check if j is a factor
if (arr1[i] % j == 0) {
// check if the factor is present in
// second array using the hash
if ((hash.find(j) != hash.end()) ||
(hash.find(arr1[i] / j) != hash.end())) {
count++;
break ;
}
}
}
}
return count;
}
// Driver code
int main()
{
int arr1[] = { 10, 2, 13, 4, 15 };
int arr2[] = { 2, 4, 5, 6 };
int n1 = sizeof (arr1) / sizeof (arr1[0]);
int n2 = sizeof (arr2) / sizeof (arr2[0]);
cout << elementCount(arr1, n1, arr2, n2);
return 0;
}


JAVA

// Java program to find count of
// elements in first array whose
// atleast one factor is present
// in second array.
import java.util.*;
class GFG
{
// Util function to count the elements
// in first array whose atleast
// one factor is present in second array
static int elementCount( int arr1[], int n1,
int arr2[], int n2)
{
// counter to count number of elements
int count = 0 ;
// Hash of second array element
HashSet<Integer> hash = new HashSet<>();
for ( int i = 0 ; i < n2; i++)
{
hash.add(arr2[i]);
}
// loop to traverse through array elements
// and check for its factors
for ( int i = 0 ; i < n1; i++)
{
// generate factors of elements
// of first array
for ( int j = 1 ; j * j <= arr1[i]; j++)
{
// Check if j is a factor
if (arr1[i] % j == 0 )
{
// check if the factor is present in
// second array using the hash
if ((hash.contains(j) && j !=
( int ) hash.toArray()[hash.size() - 1 ]) ||
(hash.contains(arr1[i] / j) && (arr1[i] / j) !=
( int ) hash.toArray()[hash.size() - 1 ]))
{
count++;
break ;
}
}
}
}
return count;
}
// Driver code
public static void main(String[] args)
{
int arr1[] = { 10 , 2 , 13 , 4 , 15 };
int arr2[] = { 2 , 4 , 5 , 6 };
int n1 = arr1.length;
int n2 = arr2.length;
System.out.println(elementCount(arr1, n1, arr2, n2));
}
}
/* This code contributed by PrinciRaj1992 */


Python3

# Python program to find count of
# elements in first array whose
# atleast one factor is present
# in second array.
# Importing sqrt() function
from math import sqrt
# Util function to count the
# elements in first array
# whose atleast one factor is
# present in second array
def elementCount(arr1, arr2):
# counter to count
# number of elements
count = 0
# Hash of second array elements
hash = frozenset (arr2)
# loop to traverse through array
# elements and check for its factors
for x in arr1:
# generate factors of
# elements of first array
for j in range ( 1 , int (sqrt(x)) + 1 ):
# Check if j is a factor
if x % j = = 0 :
# check if the factor is present
# in second array using the hash
if (j in hash or
x / j in hash ):
count + = 1
break
return count
# Driver code
arr1 = [ 10 , 2 , 13 , 4 , 15 ]
arr2 = [ 2 , 4 , 5 , 6 ]
print (elementCount(arr1, arr2))
# This code is contributed
# by vaibhav29498


C#

// C# program to find count of
// elements in first array whose
// atleast one factor is present
// in second array.
using System;
using System.Linq;
using System.Collections.Generic;
class GFG
{
// Util function to count the elements
// in first array whose atleast
// one factor is present in second array
static int elementCount( int []arr1, int n1,
int []arr2, int n2)
{
// counter to count number of elements
int count = 0;
// Hash of second array element
HashSet< int > hash = new HashSet< int >();
for ( int i = 0; i < n2; i++)
{
hash.Add(arr2[i]);
}
// loop to traverse through array elements
// and check for its factors
for ( int i = 0; i < n1; i++)
{
// generate factors of elements
// of first array
for ( int j = 1; j * j <= arr1[i]; j++)
{
// Check if j is a factor
if (arr1[i] % j == 0)
{
// check if the factor is present in
// second array using the hash
if ((hash.Contains(j) && j !=
( int ) hash.ToArray()[hash.Count- 1]) ||
(hash.Contains(arr1[i] / j) && (arr1[i] / j) !=
( int ) hash.ToArray()[hash.Count - 1]))
{
count++;
break ;
}
}
}
}
return count;
}
// Driver code
public static void Main(String[] args)
{
int []arr1 = {10, 2, 13, 4, 15};
int []arr2 = {2, 4, 5, 6};
int n1 = arr1.Length;
int n2 = arr2.Length;
Console.WriteLine(elementCount(arr1, n1, arr2, n2));
}
}
// This code contributed by Rajput-Ji


PHP

<?php
// PHP program to find count of
// elements in first array whose
// atleast one factor is present
// in second array.
// Util function to count the
// elements in first array
// whose atleast one factor is
// present in second array
function elementCount( $arr1 , $arr2 )
{
// counter to count
// number of elements
$count = 0;
// Hash of second array elements
$hash = array_unique ( $arr2 );
// loop to traverse through array
// elements and check for its factors
foreach ( $arr1 as & $x )
// generate factors of
// elements of first array
for ( $j = 1; $j < (int)(sqrt( $x )) + 1; $j ++)
// Check if j is a factor
if ( $x % $j == 0)
{
// check if the factor is present
// in second array using the hash
if (in_array( $j , $hash ) ||
in_array((int)( $x / $j ), $hash ))
{
$count ++;
break ;
}
}
return $count ;
}
// Driver code
$arr1 = array ( 10, 2, 13, 4, 15 );
$arr2 = array ( 2, 4, 5, 6 );
print (elementCount( $arr1 , $arr2 ));
// This code is contributed mits
?>


Javascript

<script>
// javascript program to find count of
// elements in first array whose
// atleast one factor is present
// in second array.
// Util function to count the elements
// in first array whose atleast
// one factor is present in second array
function elementCount(arr1 , n1 , arr2 , n2) {
// counter to count number of elements
var count = 0;
// Hash of second array element
var hash = new Set();
for (i = 0; i < n2; i++) {
hash.add(arr2[i]);
}
// loop to traverse through array elements
// and check for its factors
for (i = 0; i < n1; i++) {
// generate factors of elements
// of first array
for (j = 1; j * j <= arr1[i]; j++) {
// Check if j is a factor
if (arr1[i] % j == 0) {
// check if the factor is present in
// second array using the hash
if ((hash.has(j) && j != parseInt( hash[hash.length - 1])
|| (hash.has(arr1[i] / j) && (arr1[i] / j) != parseInt( hash[hash.length - 1])))) {
count++;
break ;
}
}
}
}
return count;
}
// Driver code
var arr1 = [ 10, 2, 13, 4, 15 ];
var arr2 = [ 2, 4, 5, 6 ];
var n1 = arr1.length;
var n2 = arr2.length;
document.write(elementCount(arr1, n1, arr2, n2));
// This code contributed by umadevi9616
</script>


输出 :

4

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