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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

func solve() {
	a, b := getInt(), getInt()

	ans := lcm(a, b)
	fmt.Fprintln(wr, ans)
}

func gcd(a, b int) int {
	if a%b == 0 {
		return b
	}
	return gcd(b, a%b)
}

func lcm(a, b int) int {
	return a / gcd(a, b) * b
}

// -----------------------------------------

const (
	inf = 1 << 60
	// mod = 1000000007
)

var (
	sc = bufio.NewScanner(os.Stdin)
	wr = bufio.NewWriter(os.Stdout)
)

func main() {
	maxBufSize := int(1e8)
	sc.Buffer(make([]byte, 4096), maxBufSize)
	sc.Split(bufio.ScanWords)
	solve()
	wr.Flush()
}

func getInt() (ret int) {
	sc.Scan()
	ret, err := strconv.Atoi(sc.Text())
	if err != nil {
		panic(err)
	}
	return
}

func getIntSlice(n int) (ret []int) {
	ret = make([]int, n)
	for i := range ret {
		ret[i] = getInt()
	}
	return
}

func getString() (ret string) {
	sc.Scan()
	ret = sc.Text()
	return
}

func getRunes() (ret []rune) {
	ret = []rune(getString())
	return
}