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Interval count

Problem

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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 ≤ 10^{18}

Explanation

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

Time Limit:
1.0 sec(s)
for each input file.

Memory Limit:
256 MB

Source Limit:
1024 KB

Marking Scheme:
Marks are awarded when all the testcases pass.

Allowed Languages:
C,
C++,
C++14,
Clojure,
C#,
D,
Erlang,
F#,
Go,
Groovy,
Haskell,
Java,
Java 8,
JavaScript(Rhino),
JavaScript(Node.js),
Julia,
Kotlin,
Lisp,
Lisp (SBCL),
Lua,
Objective-C,
OCaml,
Octave,
Pascal,
Perl,
PHP,
Python,
Python 3,
R(RScript),
Racket,
Ruby,
Rust,
Scala,
Swift,
Visual Basic

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