101482: [AtCoder]ABC148 C - Snack

Memory Limit:256 MB Time Limit:2 S
Judge Style:Text Compare Creator:
Submit:19 Solved:12

Description

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

Input

题意翻译

高桥正在组织一个聚会。 在聚会上,每位客人将获得一个或多个零食。 高桥预计这次聚会的客人人数将是 $A$ 或 $B$。 在两种预测的情况下,找出可以平均分配给客人的最少件数。 我们假设一件作品无法分割并分发给多个客人。

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