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: Accepted)

import java.util.Scanner;
class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		
		long A = sc.nextInt();
		long B = sc.nextInt();
		long pile = 1;
		
		for(long i=2; i<=Math.min(A, B);i++) {
			if(A%i==0 && B%i==0) {
				A /= i;
				B /= i;
				pile *= i;
				i--;
			}
        }
      long answer = A*B*pile;
      System.out.println(answer);
    }
}