Problem:
Score : 300 points

Problem Statement

Takahashi is organizing a party.

At the party, each guest will receive one or more snack pieces.

Takahashi predicts that the number of guests at this party will be A or B.

Find the minimum number of pieces that can be evenly distributed to the guests in both of the cases predicted.

We assume that a piece cannot be divided and distributed to multiple guests.

Constraints

1 \leq A, B \leq 10^5

A \neq B

All values in input are integers.

Input

Input is given from Standard Input in the following format:

A B

Output

Print the minimum number of pieces that can be evenly distributed to the guests in both of the cases with A guests and B guests.

Sample Input 1

2 3

Sample Output 1

6

When we have six snack pieces, each guest can take three pieces if we have two guests, and each guest can take two if we have three guests.

Sample Input 2

123 456

Sample Output 2

18696

Sample Input 3

100000 99999

Sample Output 3

9999900000

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

	import java.util.Scanner;
	
	public class Main {
	
		public static void main(String[] args) {
			Scanner sc = new Scanner(System.in);
	
			int a = sc.nextInt();
			int b = sc.nextInt();
	
			boolean flg=true;
			int count=1;
	
	
			while(flg==true) {
				if(b>a) {
					if(b*count % a == 0) {
						break;
					}else {
						count++;
					}
				}else {
					if(a*count % b == 0) {
						break;
					}else {
						count++;
					}
				}
	
			}
	
			System.out.println(b*count);
	
		}
	}