Factors and Multiples

You will be given two sets of integers. Lets call them set A and set B. Set A contains n elements and set B contains m elements. You have to remove k1 elements from set A and k2 elements from set B so that of the remaining values no integer in set B is a multiple of any integer in set A. k1 should be in the range [0, n] and k2 in the range [0, m]. You have to find the value of (k1 +k2) such that (k1 +k2) is as low as possible. P is a multiple of Q if there is some integer K such that P = K ∗ Q. Suppose set A is {2,3,4,5} and set B is {6,7,8,9}. By removing 2 and 3 from A and 8 from B, we get the sets {4,5} and {6,7,9}. Here none of the integers 6, 7 or 9 is a multiple of 4 or 5. So for this case the answer is 3 (2 from set A and 1 from set B). Input The first line of input is an integer T (T < 50) that determine the number of test cases. Each case consists of two lines. The first line starts with n followed by n integers. The second line starts with m followed by m integers. Both n and m will be in the range [1, 100]. All the elements of the two sets will fit in 32 bit signed integer. Output For each case, output the case number followed by the answer. Sample Input 2 42345 46789 3 100 200 300 1 150 Sample Output Case 1: 3 Case 2: 0