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 <iostream>
using namespace std;
long long as(long long  a,long long  b){
	if(a<b) swap(a,b);
	long long c;
	while(a%b){
		c=a%b;
		a=b;
		b=c;
	}
	return b;
}
		
int main(){
 
	long long a,b;
	int n;
	cin>>n>>a;
	for(int i=1;i<n;i++){
		cin>>b;
		a=a/as(a,b)*b;
	}
	cout<<a<<endl;
	
	return 0;
	
}