Factorial of Large Numbers in C++

This C++ Program demonstrates the the computation of Factorial of Large Numbers.

Here is source code of the C++ Program to Find Factorial of Large Numbers. The C++ program is successfully compiled and run on a Linux system. The program output is also shown below.

```
/* 
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 * C++ Program to Find Factorial of Large Numbers

```
 */
```
```
#include <cstring>
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#include <iostream>
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#include <cstdlib>
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#define ll long long
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using namespace std;
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```
 
```
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int fact[101][200] = {0};
```
```
 
```
```
/* 
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```
 * Find Factorial of Large Numbers
```

 * fact[i][0] is used to store the number of digits

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 */
```
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void fact_large(int n)
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{
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    int i;
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    fact[1][0] = 1;
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    fact[1][1] = 1;
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    if (fact[n][0] == 0) 
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    {
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        for (i = n - 1; i > 0 ; i--) 
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        {
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            if (fact[i][0] != 0)
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                break;
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        }
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        for ( ; i < n; i++) 
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        {
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            int j = 1;
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            int carry = 0;
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            int len = fact[i][0];
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            while (len--)
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            {
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                int temp = (i + 1) * fact[i][j] + carry;

                fact[i + 1][j] = temp % 10;

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                carry = temp / 10;
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                j++;
```
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            }
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            while (carry > 0) 
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            {
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                fact[i + 1][j] = carry % 10;

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                carry /= 10;
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                j++;
```
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            }
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            fact[i + 1][0] = j - 1;
```
```
        }
```
```
    }
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    for (i = fact[n][0]; i > 0; i--) 
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    {
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        cout << fact[n][i];
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    }
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    cout<<endl;
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}
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/* 
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 * Main
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 */
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int main()
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{
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    int n;
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    while (1)
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    {
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        cout<<"Enter interger to compute factorial(0 to exit): ";

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        cin>>n;
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        if (n == 0)
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            break;
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        fact_large(n);
```
```
    }
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    return 0;
```
```
}
```

$ g++ fact_large.cpp
$ a.out
 
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