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 <bits/stdc++.h>
using namespace std;
typedef long long LL;
LL gcd(LL a, LL b) { return b ? gcd(b, a % b) : a; }
LL lcm(LL a, LL b) { return a / gcd(a, b) * b; }
int main() {
  int n;
  cin >> n;
  int ans = 1;
  while (n--) {
    int t;
    cin >> t;
    ans = lcm(ans, t);
  }
  cout << ans << endl;

  return 0;
}
