2018年冬季PAT甲级 7-1 Google Recruitment (20 分)

In July 2004, Google posted on a giant billboard along Highway 101 in Silicon Valley (shown in the picture below) for recruitment. The content is super-simple, a URL consisting of the first 10-digit prime found in consecutive digits of the natural constant e. The person who could find this prime number could go to the next step in Google's hiring process by visiting this website.

2018年冬季PAT甲级 7-1 Google Recruitment (20 分)_第1张图片

The natural constant e is a well known transcendental number(超越数). The first several digits are: e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427427466391932003059921... where the 10 digits in bold are the answer to Google's question.

Now you are asked to solve a more general problem: find the first K-digit prime in consecutive digits of any given L-digit number.

Input Specification:

Each input file contains one test case. Each case first gives in a line two positive integers: L (≤ 1,000) and K (< 10), which are the numbers of digits of the given number and the prime to be found, respectively. Then the L-digit number N is given in the next line.

Output Specification:

For each test case, print in a line the first K-digit prime in consecutive digits of N. If such a number does not exist, output 404instead. Note: the leading zeroes must also be counted as part of the K digits. For example, to find the 4-digit prime in 200236, 0023 is a solution. However the first digit 2 must not be treated as a solution 0002 since the leading zeroes are not in the original number.

Sample Input 1:

20 5
23654987725541023819

Sample Output 1:

49877

Sample Input 2:

10 3
2468024680

Sample Output 2:

404

思路:题目很长,但是只需要看到最后一句话就行了,注意输出要用字符串形式输出,否则有一个样例不过,判断素数一开始循环条件写大了......应该是根号N就可以了,下午最后十分钟才改过来.....

程序:

#include 
#include 
#include 
#include 
#include 
using namespace std;
bool isPrime(int n)
{
	if(n == 1) return false;
	if(n == 2) return true;
	for(int i = 2; i * i <= n; i++)
	{
		if(n % i == 0)
		  return false;
	}
	return true;
}
int main()
{	
    char ch[1005];
    int l,k;
    scanf("%d %d",&l,&k);
    scanf("%s",ch);
    string s = ch;
    string s1;
    int temp = 0;
    bool flag = false;
    for(int i = 0; i + k <= s.size(); i++)
    {
        s1 = s.substr(i,k);
        for(int j = 0; j < s1.size(); j++)
          temp = temp * 10 + (int)(s1[j] - '0');
		if(isPrime(temp))
	    {
	    	printf("%s\n",s1.c_str());
	    	flag = true;
	    	break;
		}
    	temp = 0;
    	s1 ="";
	}
	if(!flag)
	  printf("404\n");
	return 0;
}

 

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