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.*;
import java.io.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc=new Scanner(System.in);
        int n=sc.nextInt(),a=sc.nextInt();
        for(int i=1;i<n;i++){
            int b=sc.nextInt();
            a=a*b/gcd(a,b);
        }
        System.out.println(a);
    }
    
    static int gcd(int a,int b){
        if(a<b) return gcd(b,a);
        if(b==0) return a;
        return gcd(b,a%b);
    }
}

