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.*;
import javax.lang.model.util.ElementScanner6;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);

        // 入力
        int a = sc.nextInt();
        int b = sc.nextInt();

        long out = a;
        long a1 = a;
        long b1 = b;
        while (!(out % a == 0 && out % b == 0)) {
            out = a1 > b1 ? a1 : b1;
            if (a1 < out) {
                a1 += a;
            }
            if (b1 < out) {
                b1 += b;
            }
        }

        // 出力
        System.out.println(out);
    }
}