Package for this problem was not updated by the problem writer or Codeforces administration after we’ve upgraded the judging servers. To adjust the time limit constraint, solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then value 800 ms will be displayed and used to determine the verdict.

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C. LCM

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputLeast common multiple (LCM) of two numbers is the smallest positive integer which is divisible by both of them. You are given integers *a* and *b*. Calculate their LCM.

Input

The input contains two integers *a* and *b* (1 ≤ *a*, *b* ≤ 10^{3}), separated by a single space.

Output

Output LCM(*a*, *b*).

Examples

Input

10 42

Output

210

Input

123 41

Output

123

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