/* Sum of divisors Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 1996 Accepted Submission(s): 679 Problem Description mmm is learning division, she's so proud of herself that she can figure out the sum of all the divisors of numbers no larger than 100 within one day! But her teacher said "What if I ask you to give not only the sum but the square-sums of all the divisors of numbers within hexadecimal number 100?" mmm get stuck and she's asking for your help. Attention, because mmm has misunderstood teacher's words, you have to solve a problem that is a little bit different. Here's the problem, given n, you are to calculate the square sums of the digits of all the divisors of n, under the base m. Input Multiple test cases, each test cases is one line with two integers. n and m.(n, m would be given in 10-based) 1≤n≤109 2≤m≤16 There are less then 10 test cases. Output Output the answer base m. Sample Input 10 2 30 5 Sample Output 110 112 Hint Use A, B, C...... for 10, 11, 12...... Test case 1: divisors are 1, 2, 5, 10 which means 1, 10, 101, 1010 under base 2, the square sum of digits is 1^2+ (1^2 + 0^2) + (1^2 + 0^2 + 1^2) + .... = 6 = 110 under base 2. */ #include <iostream> #include<algorithm> #include<queue> #include<stack> #include<cmath> #include<string.h> #include<stdio.h> #include<stdlib.h> using namespace std; #define maxn 26000 int a[maxn]; int sum; int k,i,j,tmp; char b[maxn]; void yinzi(int n) { k=0; for(i=1; i*i<=n; i++) { if(n%i==0) { a[k++]=i; if(i!=n/i) a[k++]=n/i; } } } void change(int m) { sum=0; for(i=0; i<k; i++) { while(a[i]) { tmp=a[i]%m; sum+=tmp*tmp; a[i]=a[i]/m; } } } void rechange(int x,int m) { j=0; stack<char> st; while(x) { tmp=x%m; if(tmp>=10) st.push('A'+tmp-10); //b[j++]='A'+tmp-10; else st.push(tmp+'0'); // b[j++]=tmp+'0'; x=x/m; } while(!st.empty()) { cout<<st.top(); st.pop(); } /*if(x) { rechange(x/m,m); tmp=x%m; if(tmp>=10) printf("%c",'A'+tmp-10); else printf("%d",tmp); }*/ } int main() { int n,m; while(~scanf("%d%d",&n,&m)) { yinzi(n); change(m); rechange(sum,m); //cout<<" j= "<<j<<endl; /*for(i=j-1;i>=0;i--) { //printf("%c",b[i]); cout<<b[i]; }*/ printf(" "); } return 0; }
#include <iostream> #include <stdio.h> #include <string.h> #include <cmath> using namespace std; int cal; void Base(int n,int m){ if(n) { Base(n/m,m); cal+=(n%m)*(n%m); } } void out(int n,int m){ if(n){ out(n/m,m); if(n%m>9) printf("%c",'A'+(n%m)-10); else printf("%d",n%m); } } int main(){ int n,m; int i,k,sum; while(scanf("%d %d",&n,&m)!=EOF){ //k=sqrt(n+1.0); sum=0; for(i=1;i*i<n;i++) { if(n%i==0){ cal=0; Base(i,m); sum+=cal; cal=0; Base(n/i,m); sum+=cal; } } if(i*i==n){ cal=0; Base(i,m); sum+=cal; } out(sum,m); printf(" "); } return 0; }
/*错误代码,求解*/ #include <iostream> #include<algorithm> #include<queue> #include<stack> #include<cmath> #include<string.h> #include<stdio.h> #include<stdlib.h> using namespace std; #define maxn 260000 int a[maxn]; int sum; int k,i,tmp; char b[maxn]; void yinzi(int n) { k=0; for(i=1;i*i<=n;i++) { if(n%i==0) { a[k++]=i; if(i!=n/i) a[k++]=n/i; } } } void change(int m) { sum=0; for(i=0;i<k;i++) { while(a[i]) { tmp=a[i]%m; sum+=tmp*tmp; a[i]=a[i]/m; } } } int main() { int n,m,x,j; while(~scanf("%d%d",&n,&m)) { yinzi(n); change(m); // rechange(sum,m); x=sum; j=0; while(x) { tmp=x%m; if(tmp>=10) b[j++]=tmp-10+'A'; else b[j++]=tmp+'0'; x=x/m; } for(i=j-1;i>=0;i--) { printf("%c",b[i]); } printf(" "); } return 0; }