Eddy's digital Roots
阿新 • • 發佈:2017-08-07
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For example, consider the positive integer 24. Adding the 2 and the 4 yields a value of 6. Since 6 is a single digit, 6 is the digital root of 24. Now consider the positive integer 39. Adding the 3 and the 9 yields 12. Since 12 is not a single digit, the process must be repeated. Adding the 1 and the 2 yeilds 3, a single digit and also the digital root of 39.
The Eddy‘s easy problem is that : give you the n,want you to find the n^n‘s digital Roots.
Input
The input file will contain a list of positive integers n, one per line. The end of the input will be indicated by an integer value of zero. Notice:For each integer in the input n(n<10000).
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 5238 Accepted Submission(s): 2925
For example, consider the positive integer 24. Adding the 2 and the 4 yields a value of 6. Since 6 is a single digit, 6 is the digital root of 24. Now consider the positive integer 39. Adding the 3 and the 9 yields 12. Since 12 is not a single digit, the process must be repeated. Adding the 1 and the 2 yeilds 3, a single digit and also the digital root of 39.
The Eddy‘s easy problem is that : give you the n,want you to find the n^n‘s digital Roots.
2 4 0
4 4
本題考查九余定理
#include<stdio.h> int main(){ int n,i,a; while(scanf("%d",&n),n) { a=n; for(i=2;i<=n;i++) a=a*n%9; if(a==0) printf("9\n"); else printf("%d\n",a); } return 0; }
Eddy's digital Roots