Saturday, 18 November 2017

C++ Program to Find Factoial of Large Numbers


Code:

#include   cstring
#include   iostream
#include   cstdlib
#define ll long long
using namespace std;

int fact[101][200] = {0};

/* 
 * Find Factorial of Large Numbers
 * fact[i][0] is used to store the number of digits
 */
void fact_large(int n)
{
    int i;
    fact[1][0] = 1;
    fact[1][1] = 1;
    if (fact[n][0] == 0) 
    {
        for (i = n - 1; i > 0 ; i--) 
        {
            if (fact[i][0] != 0)
                break;
        }
        for ( ; i < n; i++) 
        {
            int j = 1;
            int carry = 0;
            int len = fact[i][0];
            while (len--)
            {
                int temp = (i + 1) * fact[i][j] + carry;
                fact[i + 1][j] = temp % 10;
                carry = temp / 10;
                j++;
            }
            while (carry > 0) 
            {
                fact[i + 1][j] = carry % 10;
                carry /= 10;
                j++;
            }
            fact[i + 1][0] = j - 1;
        }
    }
    for (i = fact[n][0]; i > 0; i--) 
    {
        cout << fact[n][i];
    }
    cout<
}
/* 
 * Main
 */
int main()
{
    int n;
    while (1)
    {
        cout<<"Enter interger to compute factorial(0 to exit): ";
        cin>>n;
        if (n == 0)
            break;
        fact_large(n);
    }
    return 0;
}


Output:

Enter interger to compute factorial(0 to exit): 100
93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
Enter interger to compute factorial(0 to exit): 50
30414093201713378043612608166064768844377641568960512000000000000
Enter interger to compute factorial(0 to exit): 72
61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000
Enter interger to compute factorial(0 to exit): 0

------------------
(program exited with code: 1)
Press return to continue



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