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.*;
 
class Main{
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    
    long a = sc.nextInt();
    long b = sc.nextInt();
    
    long low;
    long high;
    
    if (a<b) {
      low = a;
      high = b;
    }
    else {
      low = b;
      high = a;
    }
    
    boolean flg = true;
    while (flg) {
      flg = false;
      if (low>=2) {
        for (long i=2; i<=low; i++) {
          if (low%i==0) {
            if (high%i==0) {
              low /= i;
              flg = true;
              break;
            }
          }
        }
      }
    }
    
    long result = high * low;
    System.out.println(result);
  }
}