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
import java.util.*;

public class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int n = sc.nextInt();
    long[] a = new long[n];
    for (int i = 0; i < n; i++) {
      a[i] = sc.nextLong();
    }
    long ans = 1;
    for (int i = 0; i < n; i++) {
      ans = lcm(ans, a[i]);
    }
    System.out.println(ans);
  }

  public static long gcd(long a, long b) {
    if (b == 0) {
      return a;
    }
    return gcd(b, a % b);
  }

  public static long lcm(long a, long b) {
    return (a / gcd(a, b)) * b;
  }
}
