Check for integer overflow on multiplication

Given two integer a and b, find whether their product (a x b) exceed the signed 64 bit integer or not. If it exceed print Yes else print No. 

Examples:

Input : a = 100, b = 200 
Output : No

Input : a = 10000000000, b = -10000000000
Output : Yes

Approach :

1. If either of the number is 0, then it will never exceed the range.
2. Else if the product of the two divided by one equals the other, then also it will be in range.
3. In any other case overflow will occur.

 Below is the implementation of the above approach:

C++

// CPP program to check for integer
// overflow on multiplication
#include <iostream>
using namespace std;

// Function to check whether there is
// overflow in a * b or not. It returns
// true if there is overflow.
bool isOverflow(long long a, long long b)
{
    // Check if either of them is zero
    if (a == 0 || b == 0)
        return false;

    long long result = a * b;
    if (a == result / b)
        return false;
    else
        return true;
}

// Driver code
int main()
{
    long long a = 10000000000, b = -10000000000;
    if (isOverflow(a, b))
        cout << "Yes";
    else
        cout << "No";
    return 0;
}

Java

// Java program to check for integer
// overflow on multiplication
import java.util.*;
import java.lang.*;

public class GfG{

    // Function to check whether there is
    // overflow in a * b or not. It
    // returns true if there is overflow.
    static Boolean isOverflow( long a, long b)
    {
        // Check if either of them is zero
        if (a == 0 || b == 0)
            return false;

        long result = a * b;
        if (a == result / b)
            return false;
        else
            return true;
    }

    // driver function
    public static void main(String argc[])
    {
        long a = Long.parseLong("10000000000");
        long b = Long.parseLong("-10000000000");

        if (isOverflow(a, b))
        System.out.print("Yes");
    else
        System.out.print("No");
    }
}

// This code is contributed by Prerna Saini

Python3

# Python program to check for integer
# overflow on multiplication

# Function to check whether there is
# overflow in a * b or not. It returns
# true if there is overflow.
def isOverflow(a, b):

    # Check if either of them is zero
    if (a == 0 or b == 0) :
        return False

    result = a * b
    if (result >= 9223372036854775807 or
        result <= -9223372036854775808):
        result=0
    if (a == (result // b)):
        print(result // b)
        return False
    else:
        return True

# Driver code
if __name__ =="__main__":
    a = 10000000000
    b = -10000000000
    if (isOverflow(a, b)):
        print( "Yes")
    else:
        print( "No")

# This code is contributed
# Shubham Singh(SHUBHAMSINGH10)

C#

// C# program to check for integer
// overflow on multiplication
using System;

public class GfG
{

    // Function to check whether there is
    // overflow in a * b or not. It
    // returns true if there is overflow.
    static bool isOverflow( long a, long b)
    {
        // Check if either of them is zero
        if (a == 0 || b == 0)
            return false;

        long result = a * b;
        if (a == result / b)
            return false;
        else
            return true;
    }

    // Driver function
    public static void Main()
    {
        long a = 10000000000;
        long b = -10000000000 ;

        if (isOverflow(a, b))
            Console.WriteLine("Yes");
        else
            Console.WriteLine("No");
    }
}

// This code is contributed by vt_m

PHP

<?php
// PHP program to check for integer
// overflow on multiplication

// Function to check whether there is
// overflow in a * b or not. It returns
// true if there is overflow.
function isOverflow($a, $b)
{
    // Check if either of them is zero
    if ($a == 0 || $b == 0)
        return false;

    $result = $a * $b;
    if ($a == (int)$result / $b)
        return false;
    else
        return true;
}

// Driver code
$a = 10000000000;
$b = -10000000000;
if (isOverflow($a, $b))
    echo "Yes";
else
    echo "No";

// This code is contributed by ajit.
?>

Javascript

<script>

// JavaScript program to check for integer
// overflow on multiplication

// Function to check whether there is
// overflow in a * b or not. It returns
// true if there is overflow.
function isOverflow(a, b)
{
    // Check if either of them is zero
    if (a == 0 || b == 0)
        return false;

    var result = a*b;
    if (result >= 9223372036854775807 ||
        result <= -9223372036854775808)
        result=0
    if (a == parseInt(result / b))
        return false;
    else
        return true;
}

// Driver code
var a = 10000000000, b = -10000000000;
if (isOverflow(a, b))
    document.write( "Yes");
else
    document.write( "No");

</script>

Output

Yes

Time complexity: O(1)
Auxiliary space: O(1)