#include <bits/stdc++.h>
#include <algorithm>
#include <cmath>
using namespace std;
int gcd(int a, int b){
while(b != 0) {
int temp = b;
b = a % b;
a = temp;
}
return a;
}
int lcm(int a, int b){
return (a*b) / gcd(a,b);
}