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 {
	private static Scanner sc;
	public static void main(String[] args){
		sc=new Scanner(System.in);
		int n=sc.nextInt();
		int lcm=sc.nextInt();
		for(int i=2;i<=n;i++){
			int a_i=sc.nextInt();
			lcm=getLCM(lcm,a_i);
		}
		System.out.println(lcm);
	}
	static int getGCD(int a,int b){
		if(b>a){
			int tmp=a;
			a=b;
			b=tmp;
		}
		while(b!=0){
			int tmp=b;
			b=a%b;
			a=tmp;
		}
		return a;
	}
	static int getLCM(int a,int b){
		return a/getGCD(a,b)*b;
	}
}