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)

def gcd(*nums)
	return nums.inject do |a, b|
		a, b = b, a % b until b.zero?
		a
	end
end

def lcm(*nums)
	return nums.inject {|a, b| a * b / gcd(a, b)}
end

gets
p lcm(*gets.split.map(&:to_i))