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Find smallest number K such that K % p = 0 and q % K = 0

  • Last Updated : 03 May, 2021

Given two integers p and q, the task is to find the smallest number K such that K % p = 0 and q % K = 0. If no such K is possible then print -1.
Examples: 
 

Input: p = 2, q = 8 
Output:
2 % 2 = 0 and 8 % 2 = 0
Input: p = 5, q = 14 
Output: -1 
 

 

Approach: In order for K to be possible, q must be divisible by p
 

  • If q % p = 0 then print p
  • Else print -1.

Below is the implementation of the above approach:
 

C++




// C++ implementation of the approach
#include <bits/stdc++.h>
using namespace std;
 
// Function to return the minimum
// value K such that K % p = 0
// and q % k = 0
int getMinVal(int p, int q)
{
 
    // If K is possible
    if (q % p == 0)
        return p;
 
    // No such K is possible
    return -1;
}
 
// Driver code
int main()
{
    int p = 24, q = 48;
    cout << getMinVal(p, q);
 
    return 0;
}

Java




// Java implementation of the approach
import java.io.*;
 
class GFG
{
     
// Function to return the minimum
// value K such that K % p = 0
// and q % k = 0
static int getMinVal(int p, int q)
{
 
    // If K is possible
    if (q % p == 0)
        return p;
 
    // No such K is possible
    return -1;
}
 
// Driver code
public static void main (String[] args)
{
    int p = 24, q = 48;
    System.out.println(getMinVal(p, q));
}
}
 
// This code is contributed by jit_t.

Python3




# Python3 implementation of the approach
 
# Function to return the minimum
# value K such that K % p = 0
# and q % k = 0
def getMinVal(p, q):
 
    # If K is possible
    if q % p == 0:
        return p
 
    # No such K is possible
    return -1
 
# Driver code
p = 24; q = 48
print(getMinVal(p, q))
 
# This code is contributed
# by Shrikant13

C#




// C# implementation of the approach
using System;
 
class GFG
{
     
// Function to return the minimum
// value K such that K % p = 0
// and q % k = 0
static int getMinVal(int p, int q)
{
 
    // If K is possible
    if (q % p == 0)
        return p;
 
    // No such K is possible
    return -1;
}
 
// Driver code
public static void Main ()
{
    int p = 24, q = 48;
    Console.WriteLine(getMinVal(p, q));
}
}
 
// This code is contributed
// by Code_Mech.

PHP




<?php
// PHP implementation of the approach
 
// Function to return the minimum
// value K such that K % p = 0
// and q % k = 0
function getMinVal($p, $q)
{
 
    // If K is possible
    if ($q % $p == 0)
        return $p;
 
    // No such K is possible
    return -1;
}
 
// Driver code
$p = 24;
$q = 48;
echo getMinVal($p, $q);
 
// This code is contributed by ajit.
?>

Javascript




<script>
 
// Javascript implementation of the above approach
  
// Function to return the minimum
// value K such that K % p = 0
// and q % k = 0
function getMinVal(p, q)
{
 
    // If K is possible
    if (q % p == 0)
        return p;
 
    // No such K is possible
    return -1;
}
 
// driver program
     
    let p = 24, q = 48;
    document.write(getMinVal(p, q));
   
</script>
Output: 
24

 


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