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 <stdio.h>

int main(void) {
	int n,a[10], i, max = 0;
	
	scanf("%d", &n);
	
	for(i = 0; n > i; i++){
		scanf("%d", &a[i]);
		if(max < a[i]) max = a[i];
	}
	
	for(i = 1; ; i++){
		long int buf = max*i;
		int c, f = 0;
		
		for(c = 0; n > c; c++){
			if(buf % a[c]){
				f = 1;
				break;
			}
		}
		
		if(!f){
			printf("%ld\n", buf);
			return 0;
		}
	}
	return 0;
}