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.Scanner;

public class Main {
	
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);

		int n = sc.nextInt();

		int lcm = sc.nextInt();
		for (int i = 0; i < n - 1; i++) {
			int a = sc.nextInt();
			lcm = lcm(lcm, a);
		}

		System.out.println(lcm);

		sc.close();
	}

	private static int lcm(int n, int m) {
		return n * m / gcd(n, m);
	}

	private static int gcd(int n, int m) {
		if (m == 0) {
			return n;
		} else {
			return gcd(m, n % m);
		}
	}
}