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Maximum value of an integer for which factorial can be calculated on a machine
  • Difficulty Level : Medium
  • Last Updated : 07 Jan, 2020

Program to find maximum value of an integer for which factorial can be calculated on a machine, assuming that factorial is stored using basic data type like long long int.

The idea is based on that fact that, in most of the machines, when we cross limit of integer, the values becomes negative.

C




// C program to find maximum value of 
// an integer for which factorial can 
// be calculated on your system
#include <stdio.h>
  
int findMaxValue()
{
    int res = 2;
    long long int fact = 2;
    while (1)
    {
        // when fact crosses its size, 
        // it gives negative value
        if (fact < 0)
            break;
        res++;
        fact = fact * res;
    }
    return res - 1;
}
  
// Driver Code
int main()
{
    printf ("Maximum value of integer : %d\n",
                                 findMaxValue());
    return 0;
}


Java




// Java program to find maximum value of 
// an integer for which factorial can be
// calculated on your system
import java.io.*;
import java.util.*;
  
class GFG
{
    public static int findMaxValue()
    {
        int res = 2;
        long fact = 2;
        while (true)
        {
            // when fact crosses its size, 
            // it gives negative value
            if (fact < 0)
                break;
            res++;
            fact = fact * res;
        }
        return res - 1;
    }
  
    // Driver Code
    public static void main(String[] args)
    {
        System.out.println("Maximum value of"+
                                 " integer "
                              findMaxValue());
    }
}


Python3




# Python3 program to find maximum value of 
# an integer for which factorial can be
# calculated on your system
import sys
def findMaxValue():
  
    res = 2;
    fact = 2;
    while (True):
          
        # when fact crosses its size
        # it gives negative value
        if (fact < 0 or fact > sys.maxsize):
            break;
        res += 1;
        fact = fact * res;
    return res - 1;
  
# Driver Code
if __name__ == '__main__':
      
    print("Maximum value of integer:"
                      findMaxValue());
      
# This code is contributed by 29AjayKumar


C#




// C# program to find maximum value of 
// an integer for which factorial can 
// be calculated on your system
using System;
  
class GFG
{
    public static int findMaxValue()
    {
        int res = 2;
        long fact = 2;
        while (true)
        {
            // when fact crosses its size, 
            // it gives negative value
            if (fact < 0)
                break;
            res++;
            fact = fact * res;
        }
        return res - 1;
    }
  
    // Driver Code
    public static void Main()
    {
        Console.Write("Maximum value of"+
                            " integer "
                         findMaxValue());
    }
}
  
// This code is contributed by nitin mittal


PHP




<?php
// PHP program to find maximum 
// value of an integer for which 
// factorial can be calculated
// on your system
function findMaxValue()
{
    $res = 2;
    $fact = 2;
    $pos = -1;
    while (true)
    {
        // when fact crosses its size, 
        // it gives negative value
        $mystring = $fact;
        $pos = strpos($mystring, 'E');
      
        if ($pos > 0)
            break;
        $res++;
        $fact = $fact * $res;
    }
    return $res - 1;
}
  
// Driver Code
echo "Maximum value of"
           " integer "
         findMaxValue();
      
// This code is contributed by Sam007
?>



Output :

Maximum value of integer : 20



This article is contributed by Pramod Kumar. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

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