ExtraLongFactorials.cpp

#include <bits/stdc++.h>

using namespace std;
#define MAX 500

int multiply(int x, int res[], int res_size)
{
    int carry = 0;

    for (int i=0; i<res_size; i++)
    {
        int prod = res[i] * x + carry;
        res[i] = prod % 10;  
        carry  = prod/10;    
    }

    while (carry)
    {
        res[res_size] = carry%10;
        carry = carry/10;
        res_size++;
    }
    return res_size;
}

// Complete the extraLongFactorials function below.
void extraLongFactorials(int n) {
    /* long int fact ;
    fact = 1 ;
    for ( int i = 1 ; i <= n ; i++ )
        fact *= i ;
    cout << fact ; */
    
    int res[MAX];

    res[0] = 1;
    int res_size = 1;

    for (int x=2; x<=n; x++)
    {
        res_size = multiply(x, res, res_size);
    }

   // cout << "Factorial of given number is \n";
    for (int i=res_size-1; i>=0; i--)
        cout << res[i];
}

int main()
{
    int n;
    cin >> n;
    cin.ignore(numeric_limits<streamsize>::max(), '\n');

    extraLongFactorials(n);

    return 0;
}