Problem:
Least Common Multiple

Find the least common multiple (LCM) of given n integers.

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.

Constraints

2 ≤ n ≤ 10

1 ≤ ai ≤ 1000

Product of given integers ai(i = 1, 2, ... n) does not exceed 231-1

Sample Input 1

3
3 4 6

Sample Output 1

12

Sample Input 2

4
1 2 3 5

Sample Output 2

30

Solution in Ruby (judge verdict: Accepted)

require "prime"

n = gets.to_i
numbers = gets.chomp.split.map(&:to_i)
table = Hash.new(0)
numbers.each{|x|
    Prime.prime_division(x).each{|p, x|
        table[p] = x if table[p] < x
    }
}
answer = 1
table.each{|k, v| v.times{answer *= k}}
puts answer