21138_HumbleNumbers

2022-5-16 18:18| 发布者: Hocassian| 查看: 30| 评论: 0|原作者: 肇庆学院ACM合集

摘要:
C:\Users\Administrator\Downloads\2019-10-12-10-14-3-89504890370500-Problem List-采集的数据-后羿采集器.html

Pro.ID

21138

Title

Humble Numbers

Title链接

http://10.20.2.8/oj/exercise/problem?problem_id=21138

AC

37

Submit

88

Ratio

42.05%

时间&空间限制

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

    A number whose only prime factors are 2, 3, 5 or 7 is called a humble number. The sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, ... shows the first 20 humble numbers.

    Write a program to find and print the nth element in this sequence.

    输入

    The input consists of one or more test cases. Each test case consists of one integer n with 1 ≤ n ≤ 5842. Input is terminated by a value of zero (0) for n.

    输出

    Description

    A number whose only prime factors are 2, 3, 5 or 7 is called a humble number. The sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, ... shows the first 20 humble numbers.

    Write a program to find and print the nth element in this sequence.

    Input

    The input consists of one or more test cases. Each test case consists of one integer n with 1 ≤ n ≤ 5842. Input is terminated by a value of zero (0) for n.

    Output

    For each test case, print one line saying "The n-th humble number is number.". Depending on the value of n, the correct suffix "st", "nd", "rd", or "th" for the ordinal number n-th has to be used like it is shown in the sample output.

    Sample Input

    1
    2
    3
    4
    11
    12
    13
    21
    22
    23
    100
    1000
    5842
    0

    Sample Output

    The 1st humble number is 1.
    The 2nd humble number is 2.
    The 3rd humble number is 3.
    The 4th humble number is 4.
    The 11th humble number is 12.
    The 12th humble number is 14.
    The 13th humble number is 15.
    The 21st humble number is 28.
    The 22nd humble number is 30.
    The 23rd humble number is 32.
    The 100th humble number is 450.
    The 1000th humble number is 385875.
    The 5842nd humble number is 2000000000.

    Source

    样例输入

    1
    2
    3
    4
    11
    12
    13
    21
    22
    23
    100
    1000
    5842
    0

    样例输出

    The 1st humble number is 1.
    The 2nd humble number is 2.
    The 3rd humble number is 3.
    The 4th humble number is 4.
    The 11th humble number is 12.
    The 12th humble number is 14.
    The 13th humble number is 15.
    The 21st humble number is 28.
    The 22nd humble number is 30.
    The 23rd humble number is 32.
    The 100th humble number is 450.
    The 1000th humble number is 385875.
    The 5842nd humble number is 2000000000.

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