CF75C Modified GCD

Description

Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers. A common divisor for two positive numbers is a number which both numbers are divisible by. But your teacher wants to give you a harder task, in this task you have to find the greatest common divisor $ d $ between two integers $ a $ and $ b $ that is in a given range from $ low $ to $ high $ (inclusive), i.e. $ low

Input Format

The first line contains two integers $ a $ and $ b $ , the two integers as described above ( $ 1

Output Format

Print $ n $ lines. The $ i $ -th of them should contain the result of the $ i $ -th query in the input. If there is no common divisor in the given range for any query, you should print -1 as a result for this query.