PAT (Advanced Level) 1015 Reversible Primes (20 分)
阿新 • • 發佈:2018-12-15
1015 Reversible Primes (20 分)
A reversible prime in any number system is a prime whose “reverse” in that number system is also a prime. For example in the decimal system 73 is a reversible prime because its reverse 37 is also a prime.
Now given any two positive integers N (<105) and D (1<D≤10), you are supposed to tell if N is a reversible prime with radix D.
Input Specification:
The input file consists of several test cases. Each case occupies a line which contains two integers N and D. The input is finished by a negative N.
Output Specification:
For each test case, print in one line Yes if N is a reversible prime with radix D, or No if not.
Sample Input:
73 10
23 2
23 10
-2
Sample Output:
Yes
Yes
No
Code
#include <iostream>
#include <cmath>
#pragma warning(disable:4996) // 遮蔽VS2017對scanf和prinf的報錯
using namespace std;
bool isprime(int n) {
if (n <= 1) return false;
int sqr = int(sqrt(n * 1.0));
for (int i = 2; i <= sqr; i++) {
if (n % i == 0)
return false;
}
return true;
}
int main() {
int n, d;
while (scanf("%d", &n) != EOF) {
if (n < 0) break;
scanf("%d", &d);
if (isprime(n) == false) {
printf("No\n");
continue;
}
int len = 0, arr[100];
// 10進位制轉d進位制
do {
arr[len++] = n % d;
n = n / d;
} while (n != 0);
// finish
for (int i = 0; i < len; i++)
n = n * d + arr[i];
printf("%s", isprime(n) ? "Yes\n" : "No\n");
}
return 0;
}
思路
本程式碼是來自柳婼大佬的,本來自己打了一遍,結果卡在第二個測試點,看來平時覺得很簡單的程式碼還有些細節沒有注意,現在學習了,以後對於判斷素數就這麼寫了
bool isprime(int n) {
if (n <= 1) return false;
int sqr = int(sqrt(n * 1.0));
for (int i = 2; i <= sqr; i++) {
if (n % i == 0)
return false;
}
return true;
}
對於10進位制轉d進位制就這麼寫(這個是倒轉的)
// 10進位制轉d進位制
do {
arr[len++] = n % d;
n = n / d;
} while (n != 0);
// finish
for (int i = 0; i < len; i++)
n = n * d + arr[i];
以上