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Problem 1396 Large Caclulating Work

## Problem Description

Huahua and Mingming are two students in a grade school, they are both good at calculating. To prove their strength on calculating, they decide to hold a calculating contest. The problem they will do is simple.

Let [a1,a2,...,an] (n>=1) denotes the lease common multiple(LCM) of positive integers: a1,a2,...,an, and [a]=a, denotes the greatest integer which is no more than X/2.

The task is, given a series of positive integers a1,a2,...,an, they should calculate the product of the following two numbers as quickly as possible. Those who use much less time in calculation wins the competition.

This may not be a hard problem for Huahua and Mingming, but it is really not easy for their judger. So, their judger asks you, a smart student, to write a program to help him.

For example, given the positive integers 4,8 and 12, we can calcuate as follows:
So the result is:

## Input

The input may contain multiple test cases. Each test case begins with a line containing a positive integer N (1<=N<=50), specify the number of integers in the sequence, the second line contains N positive integers ai (1<=ai<=10000, i=1,2,...,N), separated by a space.

N=0 terminates the input.

## Output

For each test case, output two lines, the first line is the test case number, as shown in the sample output, the second line is the product.

3 4 8 12 1 15 0

## Sample Output

Test Data 1: 4 Test Data 2: 15

## Source

zby03

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