Find sum of factorials in an array

Given an array arr[] of N integers. The task is to find the sum of factorials of each element of the array.

Examples:

Input: arr[] = {7, 3, 5, 4, 8}
Output: 45510
7! + 3! + 5! + 4! + 8! = 5040 + 6 + 120 + 24 + 40320 = 45510

Input: arr[] = {2, 1, 3}
Output: 9

Approach: Implement a function factorial(n) that finds the factorial of n and initialize sum = 0. Now, traverse the given array and for each element arr[i] update sum = sum + factorial(arr[i]). Print the calculated sum in the end.

Below is the implementation of the above approach:

C++

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// C++ implementation of the approach
#include <iostream> 
#include <bits/stdc++.h>
using namespace std;
  
// Function to return the factorial of n
int factorial(int n)
{
    int f = 1;
    for (int i = 1; i <= n; i++)
    {
        f *= i;
    }
    return f;
}
  
// Function to return the sum of
// factorials of the array elements
int sumFactorial(int *arr, int n)
{
  
    // To store the required sum
    int s = 0,i;
    for (i = 0; i < n; i++)
    {
  
        // Add factorial of all the elements
        s += factorial(arr[i]);
    }
    return s;
}
  
// Driver code
int main()
{
    int arr[] = { 7, 3, 5, 4, 8 };
    int n = sizeof(arr) / sizeof(arr[0]);
    cout << sumFactorial(arr, n);
    return 0;
}
      
// This code is contributed by 29AjayKumar

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Java

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// Java implementation of the approach
class GFG {
  
    // Function to return the factorial of n
    static int factorial(int n)
    {
        int f = 1;
        for (int i = 1; i <= n; i++) {
            f *= i;
        }
        return f;
    }
  
    // Function to return the sum of
    // factorials of the array elements
    static int sumFactorial(int[] arr, int n)
    {
  
        // To store the required sum
        int s = 0;
        for (int i = 0; i < n; i++) {
  
            // Add factorial of all the elements
            s += factorial(arr[i]);
        }
        return s;
    }
  
    // Driver Code
    public static void main(String[] args)
    {
        int[] arr = { 7, 3, 5, 4, 8 };
        int n = arr.length;
        System.out.println(sumFactorial(arr, n));
    }
}

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Python3

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# Python implementation of the approach
  
# Function to return the factorial of n
def factorial(n):
    f = 1;
    for i in range(1, n + 1):
        f *= i;
    return f;
  
# Function to return the sum of
# factorials of the array elements
def sumFactorial(arr, n):
  
    # To store the required sum
    s = 0;
    for i in range(0,n):
  
        # Add factorial of all the elements
        s += factorial(arr[i]);
    return s;
  
# Driver code
arr = [7, 3, 5, 4, 8 ];
n = len(arr);
print(sumFactorial(arr, n));
  
# This code contributed by Rajput-Ji

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C#

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// C# implementation of the approach 
using System;
  
class GFG
  
    // Function to return the factorial of n 
    static int factorial(int n) 
    
        int f = 1; 
        for (int i = 1; i <= n; i++)
        
            f *= i; 
        
        return f; 
    
  
    // Function to return the sum of 
    // factorials of the array elements 
    static int sumFactorial(int[] arr, int n) 
    
  
        // To store the required sum 
        int s = 0; 
        for (int i = 0; i < n; i++)
        
  
            // Add factorial of all the elements 
            s += factorial(arr[i]); 
        
        return s; 
    
  
    // Driver Code 
    public static void Main() 
    
        int[] arr = { 7, 3, 5, 4, 8 }; 
        int n = arr.Length; 
        Console.WriteLine(sumFactorial(arr, n)); 
    
  
// This code is contributed by Ryuga

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PHP

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<?php
  
// PHP implementation of the approach
  
// Function to return the factorial of n
function factorial( $n)
{
    $f = 1;
    for ( $i = 1; $i <= $n; $i++)
    {
        $f *=$i;
    }
    return $f;
}
  
// Function to return the sum of
// factorials of the array elements
function sumFactorial($arr$n)
{
  
    // To store the required sum
    $s = 0;
    for ($i = 0; $i < $n; $i++)
    {
  
        // Add factorial of all the elements
        $s += factorial($arr[$i]);
    }
    return $s;
}
  
// Driver code
  
$arr = array( 7, 3, 5, 4, 8 );
$n = sizeof($arr);
echo sumFactorial($arr, $n);
  
// This code is contributed by ihritik
  
?>
     

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Output:

45510


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