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In this post, you will find the solution for **Between Two Sets** **in Java-HackerRank Problem**. We are providing the **correct and tested solutions** of coding problems present on **HackerRank**. If you are not able to solve any problem, then you can take help from our Blog/website.

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**Introduction To Algorithm**

The word **Algorithm** means “a process or set of rules to be followed in calculations or other problem-solving operations”. Therefore Algorithm refers to a set of rules/instructions that step-by-step define how a work is to be executed upon in order to get the expected results.

**Advantages of Algorithms:**

- It is easy to understand.
- Algorithm is a step-wise representation of a solution to a given problem.
- In Algorithm the problem is broken down into smaller pieces or steps hence, it is easier for the programmer to convert it into an actual program.

** Link for the Problem** – Between Two Sets – Hacker Rank Solution

Between Two Sets – Hacker Rank Solution

**Problem:**

There will be two arrays of integers. Determine all integers that satisfy the following two conditions:

- The elements of the first array are all factors of the integer being considered
- The integer being considered is a factor of all elements of the second array

These numbers are referred to as being *between* the two arrays. Determine how many such numbers exist.

**Example**

**Function Description**

Complete the *getTotalX* function in the editor below. It should return the number of integers that are betwen the sets.

getTotalX has the following parameter(s):

*int a[n]*: an array of integers*int b[m]*: an array of integers

**Returns**

*int:*the number of integers that are between the sets

**Input Format**

**Sample Input**

2 3 2 4 16 32 96

**Sample Output**

3

**Explanation**

2 and 4 divide evenly into 4, 8, 12 and 16.

4, 8 and 16 divide evenly into 16, 32, 96.

4, 8 and 16 are the only three numbers for which each element of a is a factor and each is a factor of all elements of b.

Between Two Sets – Hacker Rank Solution

import java.util.Scanner; /** * @author Techno-RJ * */ public class BetweenTwoSets { public static void main(String[] args) { Scanner sc = new Scanner(System.in); int n = sc.nextInt(); int m = sc.nextInt(); int gcd = 0; int a[] = new int[n]; int b[] = new int[m]; for (int i = 0; i < n; i++) { a[i] = sc.nextInt(); } int lcm = a[0]; for (int i = 0; i < m; i++) { b[i] = sc.nextInt(); gcd = findGCD(b[i], gcd); } for (int i = 0; i < n - 1; i++) { lcm = (lcm * a[i + 1]) / findGCD(a[i + 1], lcm); } int count = 0, t = 0; for (int i = 1; i <= gcd && t <= gcd; i++) { t = lcm * i; if (gcd % (lcm * i) == 0) { count++; } } System.out.println(count); sc.close(); } private static int findGCD(int a, int b) { return b == 0 ? a : findGCD(b, a % b); } }

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