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;

int gcd(int x, int y) { return (x % y)? gcd(y, x % y): y; }
int lcm(int x, int y) { return x / gcd(x, y) * y; }

int main() {
  int n, a, b;
  cin >> n >> a;
  for (int i = 1; i < n; i++) {
    cin >> b;
    a = lcm(a, b);
  }
  cout << a << endl;

  return 0;
}
