1.编写bool函数，判定给定的正整数n，M是否满足：M为n的质因数（能整除n的质数）

#include <stdio.h>
#include <stdbool.h>
#include <math.h>bool Isprime(int n) {if(n<=1)return false;for(int i=2; i<=sqrt(n); i++) {if(n%i==0)return false;}return true;
}bool find(int n,int M)
{if(n%M==0&&Isprime(M))return true;return false;
}

2.编写函数，对给定的整数数组进行排序，使得所有正整数均出现在负整数和零之前

#include <stdio.h>void sort(int *arr,int n) {for(int i=0; i<n-1; i++)for(int j=0; j<n-i-1; j++)if(arr[j]<=0) {int temp=arr[j];arr[j]=arr[j+1];arr[j+1]=temp;}for(int i=0; i<n-1; i++)for(int j=0; j<n-i-1; j++)if(arr[j]<0) {int temp=arr[j];arr[j]=arr[j+1];arr[j+1]=temp;}
}int main() {int arr[]= {-1,4,-3,0,2,1,-9,7};sort(arr,8);for(int i=0; i<8; i++) {printf("%d ",arr[i]);}
}

3.编写函数，实现按照如下公式计算的功能，其中n为自然数

#include <stdio.h>int fac(int n) {if(n==0)return 1;elsereturn n*fac(n-1);
}float fun(int n) {float flag;float sum=0;for(int i=0; i<=n; i++) {flag=i/((i+1)*fac(i+2));sum+=flag;}return sum;
}

4.构造一个表示教师的结构体（包含3个字段，姓名，性别，年龄），编写函数读入M个教师的信息，存入一个结构体中

张三	李四	......	赵九
男（true）	女（false）		男（true）
50	37		09

#include <stdio.h>struct teacher{char name[10];bool sex;int age;
};void save(struct teacher st[], int M)
{for(int i = 0; i < M; i++){scanf("%s",st[i].name);scanf("%d",&st[i].sex);scanf("%d",&st[i].age);}
}

5.构造一个单链表（每个结点包含2个字段：整数信息、后继指针）。编写函数，删除该单链表中相邻结点包含相同整数信息的重复结点，仅保留一个。

#include <stdio.h>
#include <stdlib.h>typedef struct node {int data;struct node* next;
} node;void insert(node** head, int data) {struct node* new_node = (struct node*)malloc(sizeof(struct node));new_node->data = data;new_node->next = NULL;if (*head == NULL) {*head = new_node;} else {struct node* current = *head;while (current->next != NULL) {current = current->next;}current->next = new_node;}
}void removeDuplicates(node* head) {if (head == NULL) {return;}node* current = head;while (current->next != NULL) {if (current->data == current->next->data) {node* temp = current->next;current->next = temp->next;free(temp);} else {current = current->next;}}
}void displayList(node* head) {node* current = head;while (current != NULL) {printf("%d ", current->data);current = current->next;}printf("\n");
}void freeList(node* head) {node* current = head;while (current != NULL) {node* temp = current;current = current->next;free(temp);}
}int main() {node* head = NULL;insert(&head, 1);insert(&head, 2);insert(&head, 2);insert(&head, 3);insert(&head, 3);insert(&head, 4);insert(&head, 5);insert(&head, 5);insert(&head, 5);displayList(head);removeDuplicates(head);displayList(head);freeList(head);return 0;
}