描述:
It was said that when testing the first computer designed by von Neumann, people gave the following problem to both the legendary professor and the new computer: If the 4th digit of 2^n is 7, what is the smallest n? The machine
and von Neumann began computing at the same moment, and von Neumann gave the answer first. Now you are challenged with a similar but more complicated problem: If the K-th digit of M^n is 7, what is the smallest n?
輸入:
Each case is given in a line with 2 numbers: K and M (< 1,000).
輸出:
For each test case, please output in a line the smallest n.
You can assume:
The answer always exist.
The answer is no more than 100.
樣例輸入:
3 2
4 2
4 3
樣例輸出:
15
21
11
題目大意:
給出k和m求出最小的n,使得m的n次方的第k位爲7。
代碼如下:
#include<stdio.h>
#include<string.h>
#define N 1005
int n;
int k,m;
int asd[1005];
void check(int q)
{
while(asd[q]!=7) //判斷第k位是否已經等於7
{
for(int i=0;i<N;i++) //利用數組來存入大數一位一位的處理
{
asd[i]=asd[i]*m;
}
for(int i=0;i<N;i++)
{
asd[i+1]=asd[i]/10+asd[i+1]; //不斷地將低位的數字除以10後加到高位去
asd[i]=asd[i]%10;
}
n++;
}
}
int main()
{
while(scanf("%d %d",&k,&m)!=EOF)
{
memset(asd,0,sizeof(asd));
n=0;
asd[0]=1;
check(k-1);
printf("%d\n",n);
}
return 0;
}