21685_GCD

2022-5-16 18:20| 发布者: Hocassian| 查看: 39| 评论: 0|原作者: 肇庆学院ACM合集

摘要:
C:\Users\Administrator\Downloads\2019-10-12-10-14-4-89505759663900-Problem List-采集的数据-后羿采集器.html

Pro.ID

21685

Title

GCD

Title链接

http://10.20.2.8/oj/exercise/problem?problem_id=21685

AC

3

Submit

7

Ratio

42.86%

时间&空间限制

  • Time Limit: 1000/500 MS (Java/Others)     Memory Limit: 65536/32768 K (Java/Others)
  • 描述

    The greatest common divisor GCD(a, b) of two positive integers a and b, sometimes written (a, b), is the largest divisor common to a and b. For example, (1, 2) = 1, (12, 18) = 6.

    (a, b) can be easily found by the Euclidean algorithm. Now Carp is considering a little more difficult problem:

    Given integers N and M, how many integer X satisfies 1 ≤ XN and (X, N) ≥ M.

    输入

    The first line of input is an integer T ( T ≤ 3000 ) representing the number of test cases. The following T lines each contains two numbers N and M ( 1 ≤ N ≤ 1000000000,  0 ≤ M ≤ 1000000000 ), representing a test case.

    输出

    Description

    The greatest common divisor GCD(a, b) of two positive integers a and b, sometimes written (a, b), is the largest divisor common to a and b. For example, (1, 2) = 1, (12, 18) = 6.

    (a, b) can be easily found by the Euclidean algorithm. Now Carp is considering a little more difficult problem:

    Given integers N and M, how many integer X satisfies 1 ≤ XN and (X, N) ≥ M.

    Input

    The first line of input is an integer T ( T ≤ 3000 ) representing the number of test cases. The following T lines each contains two numbers N and M ( 1 ≤ N ≤ 1000000000,  0 ≤ M ≤ 1000000000 ), representing a test case.

    Output

    For each test case, output the answer on a single line.

    Sample Input

    3
    1 1
    10 2
    10000 72

    Sample Output

    1
    6
    260

    Source

    样例输入

    3
    1 1
    10 2
    10000 72

    样例输出

    1
    6
    260

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