Find the least common multiple (LCM) of given n integers.

Constraints

* 2 ≤ n ≤ 10
* 1 ≤ ai ≤ 1000
* Product of given integers ai(i = 1, 2, ... n) does not exceed 231-1

Input


n
a1 a2 ... an


n is given in the first line. Then, n integers are given in the second line.

Output

Print the least common multiple of the given integers in a line.

Examples

Input

3
3 4 6


Output

12


Input

4
1 2 3 5


Output

30
#include <iostream>
using namespace std;
template <typename T>
T gcd(T a,T b){
  if(a%b==0)return b;
  else return gcd(b,a%b);
}
template <typename T>
T lcm(T a,T b){
  return a/gcd(a,b)*b;
}
int main(){
    int n;cin>>n;
    long long nw = 1;
    for(int i = 0; n > i; i++){
        long long t;cin>>t;
        nw = lcm(nw,t);
    }
    cout << nw <<endl;
}
