UVa 725 简单枚举+整数转换为字符串

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本文提供了一个程序，用于查找并显示所有使用0-9一次的五位数，使得其中一个数除以另一个数等于一个整数N。程序会按递增的分子排序输出符合条件的数对，并在找不到解决方案时提示。输入终止于0。

Division

Write a program that finds and displays all pairs of 5-digit numbers that between them use the digits 0through 9 once each, such that the first number divided by the second is equal to an integer N, where $2\le N \le 79$ . That is,

abcde / fghij = N

where each letter represents a different digit. The first digit of one of the numerals is allowed to be zero.

Input

Each line of the input file consists of a valid integer N. An input of zero is to terminate the program.

Output

Your program have to display ALL qualifying pairs of numerals, sorted by increasing numerator (and, of course, denominator).

Your output should be in the following general form:

xxxxx / xxxxx = N

In case there are no pairs of numerals satisfying the condition, you must write ``There are no solutions for N.". Separate the output for two different values of N by a blank line.

Sample Input

61
62
0

Sample Output

There are no solutions for 61.

79546 / 01283 = 62
94736 / 01528 = 62

Miguel Revilla
2000-08-31

/*算法分析：枚举fghij就可以计算出abcde,然后判断是否所有数字都不相同即可。 {提交时系统不支持itoa函数，故写了一个整数转换为字符串函数 
*/
#include <iostream>
#include <cstdio>
#include <cstring>
#include <string>
#include <cstdlib>
using namespace std;

char *reverse(char *s)  
{  
    char temp;  
    char *p = s;    //p指向s的头部  
    char *q = s;    //q指向s的尾部  
    while(*q)  
        ++q;  
    q--;  
  
    //交换移动指针，直到p和q交叉  
    while(q > p)  
    {  
        temp = *p;  
        *p++ = *q;  
        *q-- = temp;  
    }  
    return s;  
}  
  
/* 
 * 功能：整数转换为字符串 
 * char s[] 的作用是存储整数的每一位 
 */  
char *my_itoa(int n)  
{  
    int i = 0,isNegative = 0;  
    static char s[100];      //必须为static变量，或者是全局变量  
    if((isNegative = n) < 0) //如果是负数，先转为正数  
    {  
        n = -n;  
    }  
    do      //从各位开始变为字符，直到最高位，最后应该反转  
    {  
        s[i++] = n%10 + '0';  
        n = n/10;  
    }while(n > 0);  
  
    if(isNegative < 0)   //如果是负数，补上负号  
    {  
        s[i++] = '-';  
    }  
    s[i] = '\0';    //最后加上字符串结束符  
    return reverse(s);    
} 

int panDuan(int a, int b) {
	char a1[10], b1[10];
	
	memset(a1, 0, sizeof(a1));
	memset(b1, 0, sizeof(b1));
	strcpy(a1, my_itoa(a));
	strcpy(b1, my_itoa(b));
	
	
	int flag = 0;
	for (int i = 0; i<strlen(a1); i++) {
		for (int j = 0; j<strlen(b1); j++) {
			if (a1[i] == b1[j])	flag = 1;
		}
	}
	for (int i = 0; i<strlen(a1); i++) {
		for (int j = 0; j<strlen(a1) && i!=j; j++) {
			if (a1[i] == a1[j])	flag = 1;
		}
	}
	for (int i = 0; i<strlen(b1); i++) {
		for (int j = 0; j<strlen(b1) && i!=j; j++) {
			if (b1[i] == b1[j])	flag = 1;
		}
	}
	if (flag)	return 0;
	return 1;
}

int main() {
	int n, f1 = 0;
	while (cin >> n && n) {
		if (f1)	cout << endl;
		f1 = 1;
		int flag = 0;
		for (int i = 1000; i<=99999; i++) {
			int num = i*n;
			int f = i;
			if (num>=10000 && num<100000) {
				if (f < 10000)	f *= 10;
				if (panDuan(f, num)) {
					
					flag = 1;
					cout << num << " / " ;
					if (i<10000)	cout << 0<< i<< " = "<< n << endl;
					else	cout << i<< " = "<< n << endl;
				}
			}
		}
		if (!flag)	cout << "There are no solutions for " << n<< "." << endl;
		
	}
	return 0;
}