Alex has two integers A and B. He wants to find the minimum value of lcm(A, X) - gcd(B, X) where X is any positive integer. Help him determine this value. Note: gcd(P, Q) denotes the greatest common divisor of P and Q and lcm(P, Q) denotes the least common multiple of P and Q. Input Format The first line contains a single integer T — the number
Control structures
Control structures are block of statements that analyze the value of variables and determine the flow of execution based on those values. When a program is running, the CPU executes the code line by line. After sometime, the program reaches the point where it has to make a decision on whether it has to go to another part of the code or repeat execution of certain part of the code. These results affect the flow of the program's code and these are called control structures.
Switch Statement
The switch statement is a key feature that is used by the programmers a lot in the world of programming and coding, as well as in information technology in general. The switch statement is a selection control mechanism that allows the variable value to change the order of the individual statements in the software execution via search.
Alex has two integers A and B.
He wants to find the minimum value of lcm(A, X) - gcd(B, X) where X is any positive integer.
Help him determine this value.
Note: gcd(P, Q) denotes the greatest common divisor of P and Q and lcm(P, Q) denotes the least common multiple of P and Q.
Input Format
- The first line contains a single integer T — the number of test cases. Then the test cases follow.
- The first and only line of each test case contains two space-separated integers A and B — the integers mentioned in the statement.
Output Format
For each test case, output the minimum value of lcm(A, X) - gcd(B, X).
Constraints
- 1≤T≤105
- 1≤A,B≤109
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