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 base = sc.nextInt();
        for (int i = 1; i < n; i++) {
            base = getLCM(base, sc.nextInt());
        }
        System.out.println(base);
     }
     
    static long getLCM(long x, long y) {
        return x / getGCD(x, y) * y;
    }
    
    static long getGCD(long x, long y) {
        if (x % y == 0) {
            return y;
        } else {
            return getGCD(y, x % y);
        }
    }
}
