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Largest number smaller than or equal to N divisible by K

  • Last Updated : 30 Apr, 2021

Given a number N and a number K, the task is to find the largest number smaller than or equal to N which is divisible by K.
Examples: 

Input: N = 45, K = 6
Output: 42
42 is the largest number smaller than 
or equal to 45 which is divisible by 6.

Input: N = 11, K = 3
Output: 9

Approach: The idea is to divide the N by K. If the remainder is 0 then print N else print N – remainder.
Below is the implementation of the above approach:  

C++




// C++ implementation of the above approach
#include <bits/stdc++.h>
using namespace std;
 
// Function to find the largest number
// smaller than or equal to N
// that is divisible by k
int findNum(int N, int K)
{
    int rem = N % K;
 
    if (rem == 0)
        return N;
    else
        return N - rem;
}
 
// Driver code
int main()
{
    int N = 45, K = 6;
 
    cout << "Largest number smaller than or equal to "<< N
         << "\nthat is divisible by "<< K  << " is " << findNum(N, K);
 
    return 0;
}

Java




// Java implementation of the
// above approach
import java.lang.*;
import java.util.*;
 
class GFG
{
// Function to find the largest number
// smaller than or equal to N
// that is divisible by k
static int findNum(int N, int K)
{
    int rem = N % K;
 
    if (rem == 0)
        return N;
    else
        return N - rem;
}
 
// Driver code
public static void main(String args[])
{
    int N = 45, K = 6;
 
    System.out.print("Largest number smaller " +
                       "than or equal to " + N +
                 "\nthat is divisible by " + K +
                        " is " + findNum(N, K));
}
}
 
// This code is contributed
// by Akanksha Rai(Abby_akku)

Python3




# Python3 implementation of the above approach
 
# Function to find the largest number smaller
# than or equal to N that is divisible by k
def findNum(N, K):
      
    rem = N % K
    if(rem == 0):
        return N
    else:
        return N - rem
 
# Driver code
if __name__=='__main__':
     
    N = 45
    K = 6
    print("Largest number smaller than or equal to" +
           str(N) + "that is divisible by" + str(K) +
                                "is", findNum(N, K))
 
# This code is contributed by
# Kirti_Mangal

C#




// C# implementation of the above approach
using System;
 
class GFG
{
// Function to find the largest number
// smaller than or equal to N
// that is divisible by k
static int findNum(int N, int K)
{
    int rem = N % K;
 
    if (rem == 0)
        return N;
    else
        return N - rem;
}
 
// Driver code
public static void Main()
{
    int N = 45, K = 6;
 
    Console.Write("Largest number smaller " +
                     "than or equal to "+ N +
               "\nthat is divisible by "+ K +
                     " is " + findNum(N, K));
}
}
 
// This code is contributed
// by Akanksha Rai(Abby_akku)

PHP




<?php
// PHP implementation of the
// above approach
 
// Function to find the largest
// number smaller than or equal
// to N that is divisible by k
function findNum($N, $K)
{
    $rem = $N % $K;
 
    if ($rem == 0)
        return $N;
    else
        return $N - $rem;
}
 
// Driver code
$N = 45 ;
$K = 6 ;
 
echo"Largest number smaller than or equal to ", $N,
    "\nthat is divisible by ", $K, " is ",
    findNum($N, $K);
     
// This code is contributed by ANKITRAI1
?>

Javascript




<script>
 
// Javascript implementation of the above approach
 
// Function to find the largest number
// smaller than or equal to N
// that is divisible by k
function findNum(N, K)
{
    var rem = N % K;
 
    if (rem == 0)
        return N;
    else
        return N - rem;
}
 
// Driver code
var N = 45, K = 6;
document.write( "Largest number smaller than or equal to " + N
     + "<br>that is divisible by " + K + " is " + findNum(N, K));
 
</script>
Output: 
Largest number smaller than or equal to 45
that is divisible by 6 is 42

 

Time Complexity: O(1)

Auxiliary Space: O(1)

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