蓝桥杯每日一题
1.有序分数(简单)
2.带分数
以下是代码
#define _CRT_SECURE_NO_WARNINGS
#include<iostream>
#include<string>
#include<algorithm>
#include<cstring>
#include<vector>
#include<queue>
#include<math.h>
#include<set>
#include<map>
#include<string.h>
#include<deque>
using namespace std;
//有序分数
int n, cnt;
map<double, int> mp;
struct P
{
double res;
int n1, n2;
}p[40000];
int main()
{
ios::sync_with_stdio(false);
cin >> n;
for (int i = 1; i <= n; i++)
{
for (int j = 1; j <= i - 1; j++)
{
if (j!=1 && i % j == 0) continue;
double res = (double)j / i;
if (!mp.count(res))
{
p[cnt++] = { res,j,i };
mp[res] = 1;
}
}
}
sort(p, p + cnt, [&](P x, P y) {
return x.res < y.res;
});
printf("0/1\n");
for (int i = 0; i < cnt; i++)
{
printf("%d/%d\n", p[i].n1, p[i].n2);
}
printf("1/1\n");
return 0;
}
//带分数
//全排列+把数组分成三段拼接成三个数字
int a[10], n, cnt;
int main()
{
ios::sync_with_stdio(false);
cin >> n;
for (int i = 1; i <= 9; i++) a[i] = i;
do
{
for (int i = 2; i <= 7; i++)
{
for (int j = i; j <= 8; j++)
{
int n1 = 0, n2 = 0, n3 = 0;
for (int k = 1; k < i; k++) n1 = n1 * 10 + a[k];
for (int k = i; k <= j; k++) n2 = n2 * 10 + a[k];
for (int k = j + 1; k <= 9; k++) n3 = n3 * 10 + a[k];
if (n2 % n3 == 0 && n1 + n2 / n3 == n) cnt++;
}
}
} while (next_permutation(a + 1, a + 10));
cout << cnt << endl;
return 0;
}