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 <cstdio>
#include <math.h>
using namespace std;

int main(){
	int n, a[10], ans = 1, p = 2;
	scanf("%d", &n);
	for (int i = 0; i < n; i++) {
		scanf("%d", &a[i]);
		ans *= a[i];
	}
	int flag;
	while (p < 1000) {
		flag = 0;
		for (int i = 0; i < n; i++) {
			if (a[i] % p == 0) {
				a[i] /= p;
				ans /= p;
				flag++;
			}
		}
		if (flag >= 2) {
			ans *= p;
			continue;
		}
		else if (flag == 1) {
			ans *= p;
		}
		p++;
	}
	printf("%d\n", ans);

	return 0;
}