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 Scala (judge verdict: Accepted)

object Main {
  def main(args: Array[String]): Unit = {
    val _ = io.StdIn.readInt()
    val an: Seq[Int] = io.StdIn.readLine().split(" ").map(_.toInt)
    println(an.tail.foldLeft(an.head)((acc, ai) => lcm(acc, ai)))
  }
  def lcm(m: Int, n: Int): Int = (m * n) / gcd(m, n)
  def gcd(x: Int, y: Int): Int = {
    def loop(m: Int, n: Int): Int =
      if (n > 0) loop(n, m % n)
      else m
    if (x < y) loop(y, x) else loop(x, y)
  }
}