This problem of Oz is very straight forward. You are given N distinct prime integers i.e p1, p2,..., pN and an interval [L,R]. Calculate number of integers in this interval that are divisible by at least one of the given primes.
Input :
First line of input contain an integer T — the number of test cases. T tests follow. First line of each test case contain 3 integers — N, L, R. and the next line contains N distinct prime integers - p1, p2,..., pN.
Output :
For each test case output a single number — number of integers in [L,R], that are divisible by at least one of the given primes.
Constraints :
1 ≤ T ≤ 10
1 ≤ N ≤ 10
1 < pi < 1000 where i=1,2..N
1 ≤ L ≤ R ≤ 1018
For second sample :
Numbers in the interval [1,10] which are divisible by at least one prime from (2,3) are as follow :
2, 3, 4, 6, 8, 9, 10
