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  • 【HDU 2010】水仙花数

    http://acm.hdu.edu.cn/showproblem.php?pid=2010

    春天是鲜花的季节,水仙花就是其中最迷人的代表,数学上有个水仙花数,他是这样定义的:“水仙花数”是指一个三位数,它的各位数字的立方和等于其本身,比如:153=1^3+5^3+3^3。现在要求输出所有在m和n范围内的水仙花数。

    Solution:水仙花数又称阿姆斯特朗数,没有直接规律,只能暴力求解.

    有限数列,打表算了(懒写暴力)

    使用在线算法打大表:

    1:  1, 2, 3, 4, 5, 6, 7, 8, 9
    3: 153, 370, 371, 407
    4: 1634, 8208, 9474
    5: 54748, 92727, 93084
    6: 548834
    7: 1741725, 4210818, 9800817, 9926315
    8: 24678050, 24678051, 88593477
    9: 146511208, 472335975,534494836, 912985153
    10: 4679307774, 32164049650
    11:40028394225
    11: 42678290603
    11: 49388550606
    11: 32164049651
    11: 94204591914
    11: 44708635679
    11: 82693916578
    14: 28116440335967
    16: 4338281769391370
    16: 4338281769391371
    17: 21897142587612075
    17: 35641594208964132
    17: 35875699062250035
    19: 1517841543307505039
    19: 3289582984443187032
    19: 4929273885928088826
    19: 4498128791164624869
    20: 63105425988599693916
    21: 449177399146038697307
    21: 128468643043731391252
    23: 27907865009977052567814
    23: 35452590104031691935943
    23: 27879694893054074471405
    23: 21887696841122916288858
    24: 174088005938065293023722
    24: 188451485447897896036875
    ..
    有限序列,总共88最后一个115132219018763992565095597973971522401
    // This file is made by YJinpeng,created by XuYike's black technology automatically.
    // Copyright (C) 2016 ChangJun High School, Inc.
    // I don't know what this program is.
    
    #include <iostream>
    #include <cstdio>
    using namespace std;
    int a[10]={153,370,371,407},b[10];
    int main()
    {
        freopen("2010.in","r",stdin);
        freopen("2010.out","w",stdout);
        int l,r,flag;
        while(~scanf("%d %d",&l,&r)){
            flag=0;
            for(int i=0;i<4;i++)
                if(a[i]>=l&&a[i]<=r)b[++flag]=a[i];
            if(flag){for(int i=1;i<flag;i++)printf("%d ",b[i]);printf("%d",b[flag]);}
            else printf("no");printf("
    ");
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/YJinpeng/p/5987015.html
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