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.chomp.split(" ").map{|s| s.to_i}

if A > B
  ltmp = A
  stmp = B
else
  ltmp = B
  stmp = A
end

r = ltmp % stmp
[A, B].max.times do
  break if r <= 0
  ltmp = stmp
  stmp = r
  r = ltmp % stmp
end

puts A * B / [stmp, 1].max