Find The Multiple
2016-02-27 17:09
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C -Find The MultipleCrawling in process...Crawling failedTime Limit:1000MSMemory Limit:10000KB 64bit IO Format:%I64d & %I64uSubmitStatusDescriptionGiven a positive integer n, write a program to find out a nonzero multiple m of n whose decimal representation contains only the digits 0 and 1. You may assume that n is not greater than 200 and thereis a corresponding m containing no more than 100 decimal digits.InputThe input file may contain multiple test cases. Each line contains a value of n (1 <= n <= 200). A line containing a zero terminates the input.OutputFor each value of n in the input print a line containing the corresponding value of m. The decimal representation of m must not contain more than 100 digits. If there are multiple solutions for a givenvalue of n, any one of them is acceptable.Sample Input
2 6 19 0Sample Output
10 100100100100100100 111111111111111111
题目大意:
输入一个正整数n,寻找只由0和1组成的能够将n整除的十进制数
代码如下
#include <iostream>#include<algorithm>#include<cstdio>#include<cmath>#include<cstring>#include<cstdlib>#include<stack>#include<queue>
using namespace std;
int n,m;
void dfs(long long t,int y){if(y > 18||m==1)//long long 最多存储十九位数,第二十位时已经超出数据范围,当找到结果时,要return,设置m=1,使递归结束return;if( t % n == 0){m=1;printf("%lld\n",t);return;}dfs(t*10,y+1);//只由0,1组成的二进制数一定是由1为第一位数字,如不是1,增大数字则乘十或者乘十再加一dfs(t*10+1,y+1);//不能用y++,会改变y的值
}int main(){while (scanf("%d",&n)!=EOF&&n){m=0;//标记是否找到答案dfs(1,0);}
return 0;}
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