COMDIV - Number of common divisors

You will be given T (T ≤ 106) pairs of numbers. All you have to tell is the number of common divisors between the two numbers in each pair.

Input

First line of input: T (Number of test cases)
In next T lines, each have one pair A B (0 < A, B ≤ 106)

Output

One integer describing number of common divisors between two numbers.

Example

Input:
3
100000 100000
12 24
747794 238336 Output: 36
6
2

Added by:Mir Wasi Ahmed
Date:2010-10-31
Time limit:0.600s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Own problem, used in UODA TST

hide comments
2024-11-13 16:22:41
guys pls don't spoil solution in comments
2024-05-29 21:52:12
Try to solve in O(T* logT) ,

store divisor count in vector using seive
2024-05-17 13:29:29
Weak Test Cases, O(T * Sqrt(gcd(a,b))) shouldn't be passed.
2022-08-29 17:23:57
1. ___gcd(a,b)
2. for(i=1;i*i<=gcd;i++)
3. must use scanf, printf otherwise you will get TLE

Last edit: 2022-08-29 17:55:37
2022-02-12 12:05:28
find prime divisors of the gcd(a,b) using seive,
2021-08-11 09:51:36
weak test cases i guess! O(T * sqrt(gcd(a, b))) passes the test cases. It should be 10 ^ 6 * 10 ^ 3 in worst case. O(T * log(gcd(a, b))) good approach tho.
2021-06-08 16:08:39
Important - 1 is also considered a factor. It cost me a wrong answer.
2021-05-19 11:23:29
Use "\n" instead of endl to avoid TLE.
2021-05-11 13:56:15
AC in one go. No scanf,printf used. Complexity-->O(logn + sqrt(n))
2021-03-24 13:06:02
I got an AC without using scanf and printf
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