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 main()
{
  int n, r, x;
  cin >> n;
  int a[n];

  for (int i = 0; i < n; i++){
    cin >> a[i];
  }
  for (int i = 0; i < n - 1; i++){
    x = a[i] * a[i + 1];
    if (a[i] < a[i + 1]){
      swap(a[i], a[i + 1]);
    }
    r = a[i] % a[i + 1];
    while (r != 0){
      a[i] = a[i + 1];
      a[i + 1] = r;
      r = a[i] % a[i + 1];
    }
    a[i + 1] = x / a[i + 1];
  }
  cout << a[n - 1] << endl;

  return (0);
}