Skip to content
Related Articles
Check if LCM of array elements is divisible by a prime number or not
• Difficulty Level : Medium
• Last Updated : 26 Mar, 2021

Given an array and a number k, the task is to find if LCM of the array is divisible by k or not.
Examples :

```Input : int[] a = {10, 20, 15, 25}
k = 3
Output : true

Input : int[] a = {24, 21, 45, 57, 36};
k = 23;
Output : false```

One simple solution is to first find LCM of array elements, then check if LCM is divisible by k or not.
Here, without calculating the LCM of the number we can find that LCM of the an array of number is divisible by a prime number k or not. If any number of the array is divisible by prime number k, then the LCM of the number is also divisible by prime number k.

## C++

 `// C++ program to find LCM of``// array of number is divisible``// by a prime number k or not``#include``using` `namespace` `std;` `// Function to check any number of``// array is divisible by k or not``bool` `func(``int` `a[], ``int` `k, ``int` `n)``{``    ``// If any array element is divisible``    ``// by k, then LCM of whole array``    ``// should also be divisible.``    ``for` `(``int` `i = 0; i < n; i++)``        ``if` `(a[i] % k == 0)``        ``return` `true``;``    ``return` `false``;``}` `// Driver Code``int` `main()``{``    ``int` `a[] = {14, 27, 38, 76, 84};``    ``int` `k = 19;``    ``bool` `res = func(a, k, 5);``    ``if``(res)``    ``cout<<``"true"``;``    ``else``    ``cout<<``"false"``;``    ``return` `0;``}` `// This code is contributed``// by Mr. Somesh Awasthi`

## Java

 `// Java program to find LCM of``// array of number is divisible``// by a prime number k or not``import` `java.lang.*;``import` `java.util.*;` `class` `GFG``{``    ``// Function to check any number``    ``// of array is divisible by k or not``    ``static` `boolean` `func( ``int` `a[], ``int` `k)``    ``{``        ``// If any array element is divisible``        ``// by k, then LCM of whole array``        ``// should also be divisible.``        ``for` `(``int` `i = ``0``; i < a.length; i++)``            ``if` `(a[i] % k == ``0``)``            ``return` `true``;``        ``return` `false``;``    ``}` `    ``// Driver Code``    ``public` `static` `void` `main(String args[])``    ``{``        ``int``[] a = {``14``, ``27``, ``38``, ``76``, ``84``};``        ``int` `k = ``19``;``        ``boolean` `res = func(a, k);``        ``System.out.println(res);``    ``}``}`

## Python 3

 `# Python 3 program to find LCM``# of array of number is divisible``# by a prime number k or not`  `# Function to check any number of``# array is divisible by k or not``def` `func( a, k, n) :``    ` `    ``# If any array element is``    ``# divisible by k, then LCM``    ``# of whole array should also``    ``# be divisible.``    ``for` `i ``in` `range``(``0``, n) :``        ``if` `( a[i] ``%` `k ``=``=` `0``):``            ``return` `True`  `# Driver Code``a ``=` `[``14``, ``27``, ``38``, ``76``, ``84``]``k ``=` `19``res ``=` `func(a, k, ``5``)` `if``(res) :``    ``print``(``"true"``)``else` `:``    ``print``(``"false"``)``    `   `# This code is contributed``# by Nikita Tiwari.`

## C#

 `// C# program to find LCM of array``// of number is divisible by a prime``// number k or not``using` `System;` `class` `GFG``{``    ` `    ``// Function to check any number of``    ``// array is divisible by k or not``    ``static` `bool` `func(``int` `[]a, ``int` `k)``    ``{``        ` `        ``// If any array element is``        ``// divisible by k, then LCM``        ``// of whole array should also``        ``// be divisible.``        ``for` `(``int` `i = 0; i < a.Length; i++)``            ``if` `(a[i] % k == 0)``            ``return` `true``;``        ``return` `false``;``    ``}` `    ``// Driver code``    ``public` `static` `void` `Main()``    ``{``        ``int` `[]a = {14, 27, 38, 76, 84};``        ``int` `k = 19;``        ``bool` `res = func(a, k);``        ``Console.Write(res);``    ``}``}` `// This code is contributed by nitin mittal.`

## PHP

 ``

## Javascript

 ``

Output :

` true`

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.
Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.

Attention reader! Don’t stop learning now. Get hold of all the important mathematical concepts for competitive programming with the Essential Maths for CP Course at a student-friendly price. To complete your preparation from learning a language to DS Algo and many more,  please refer Complete Interview Preparation Course.

My Personal Notes arrow_drop_up