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 Java (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

	
	import java.util.*;
	
		public class Main {
			
			public static void main(String[] args) {		
			
				Scanner sc=new Scanner(System.in);			
				long a=sc.nextInt();
				long b=sc.nextInt();				
				long ebob=1;				
				for(int i=1; i<Math.min(a, b); i++) {
					if(a%i==0 && b%i==0) {
						ebob *=i;
					}					
				}
				long ans= ((a*b)/ebob);
				System.out.println(ans);					
			}
		
	}