题意 所有只能被2,3,5,7这4个素数整除的数称为Humble Number 输入n 输出第n个Humble Number
1是第一个humble number 对于一个Humble Number a 有2*a,3*a,5*a,7*a都是Humble Number 可以以1为基数 依次展开即可得到一定范围内的Humble Number 用i,j,k,l分别记录 2,3,5,7分别乘到了第几个Humble Number 当前在计算第cnt个Humble Number 那么有 hum[cnt] = min ( hum[i] * 2, hum[j] * 3, hum[k] * 5, hum[l] * 7) 然后对应min的i或j或k或l就加1 当cnt到达了n 结果就出来了
#include<cstdio> #include<algorithm> using namespace std; const int N = 5843; int hum[N], cnt, n; int main() { int i = 1, j = 1, k = 1, l = hum[1] = 1; for (cnt = 2; cnt < N; ++cnt) { hum[cnt] = min ( min(hum[i] * 2, hum[j] * 3), min (hum[k] * 5, hum[l] * 7)); if (hum[cnt] == hum[i] * 2) ++i; if (hum[cnt] == hum[j] * 3) ++j; if (hum[cnt] == hum[k] * 5) ++k; if (hum[cnt] == hum[l] * 7) ++l; } while (scanf ("%d", &n), n) { printf ("The %d", n); if (n % 100 != 11 && n % 10 == 1) printf ("st "); else if (n % 100 != 12 && n % 10 == 2) printf ("nd "); else if (n % 100 != 13 && n % 10 == 3) printf ("rd "); else printf ("th "); printf ("humble number is %d.\n", hum[n]); } return 0; }
1 2 3 4 11 12 13 21 22 23 100 1000 5842 0
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.
HDU 1058 Humble Numbers(DP,数),布布扣,bubuko.com
原文地址:http://blog.csdn.net/iooden/article/details/38511119