开灯问题
开灯问题时间限制:3000 ms | 内存限制:65535 KB
难度:1
描述
有n盏灯,编号为1~n,第1个人把所有灯打开,第2个人按下所有编号为2 的倍数的开关(这些灯将被关掉),第3 个人按下所有编号为3的倍数的开关(其中关掉的灯将被打开,开着的灯将被关闭),依此类推。一共有k个人,问最后有哪些灯开着?输入:n和k,输出开着的灯编号。k≤n≤1000
输入
输入一组数据:n和k
输出
输出开着的灯编号
样例输入
7 3
样例输出
1 5 6 7
CODE:
01.#include <iostream>02.#include <cstring>03. 04.using
namespace std;05. 06.int
main()07.{08.int
nNumOfLights,09.nNumOfPeople;10.int
nArrLights[1001];11. 12.cin >> nNumOfLights >> nNumOfPeople;13.for
(int
i = 1; i <= 1000; i++)14.nArrLights[i] = 1;15. 16.for
(int
i = 2; i <= nNumOfPeople; i++)17.{18.for
(int
j = i; j <= nNumOfLights; j += i)19.nArrLights[j] = !nArrLights[j];//取反20. 21.}22.//for (int i = 1; i <= nNumOfLights; i++)23.// cout << nArrLights[i] << " ";24.// cout << endl;25.for
(int
i = 1; i <= nNumOfLights; i++)26.if
(nArrLights[i] != 0)27.{28.if
(i != 1)29.cout <<
" ";30.cout << i;31.}32.cout << endl;33. 34. 35.return
0;36.}
最后更新:2017-04-02 15:14:52