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 Ruby (2.3.3) (judge verdict: Accepted)

a,b = gets.split(" ")
a = a.to_i
b = b.to_i

tmp_a = a
tmp_b = b

#最大公約数を求める
#大小の入れ替え
if b > a
    tmp = a
    a = b
    b = tmp
end

#最大公約数を出す
r = a % b
while r != 0 do
    a = b
    b = r
    r = a % b
end

puts tmp_a * tmp_b / b