对于一些大数取余,可以利用模拟手算取余的方法进行计算。
e.g.有一个大数989565215785528545587(大数)对10003(小数)取余,需要将该大数从最左端开始对10003取余;
start:
9%10003==9;
(9*10+8)%10003==98;
(98*10+9)%10003==989;
(989*10+5)%10003==9895;
(9895*10+6)%10003==8929;
(8929*10+5)%10003==9271;
......
上一道模板题:https://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=1870
Introduction to the problem
Your job is, given a positive number N, determine if it is a multiple of eleven.Description of the input
The input is a file such that each line contains a positive number. A line containing the number 0 is the end of the input. The given numbers can contain up to 1000 digits.
Description of the output
The output of the program shall indicate, for each input number, if it is a multiple of eleven or not.
Sample input:
112233
30800
2937
323455693
5038297
112234
0
Sample output
112233 is a multiple of 11.
30800 is a multiple of 11.
2937 is a multiple of 11.
323455693 is a multiple of 11.
5038297 is a multiple of 11.
112234 is not a multiple of 11.
1 #include <stdio.h> 2 #include <stdlib.h> 3 #include <string.h> 4 int main() 5 { 6 int l, ans, i; 7 char a[2000]; 8 while(~scanf("%s", a)) 9 { 10 if(strcmp(a, "0") == 0) break; // 注意这里判断为零的情况,不能直接a==0 11 l = strlen(a); 12 ans = 0; 13 for(i = 0; i < l; i++) 14 { 15 ans = (ans * 10 + (a[i] - '0')) % 11; // 重点在这里的大数取余算法 16 } 17 if(ans == 0) // 除的尽 18 printf("%s is a multiple of 11.\n", a); 19 else 20 printf("%s is not a multiple of 11.\n", a); 21 } 22 return 0; 23 }View Code