C语言集合运算并、交，相对补，对称差，判断两个集合是否相等，求集合幂集

待我称王封你为后i 2022-06-13 04:16 1167阅读 0赞

任务描述

编写程序实现两个集 合的并、交，相对补，对称差的运算并判断两个集合是否相等?

功能要求

①输入集合A与集合B的元素。

②输出集合A与B的并、交、相对补、差、对称差运算。

③输出集合A与B是否相等的断定结果。

④输出集合A与B的幂集。

//这个程序的幂集计算有错，做了修改，在另外一篇文章

[http://blog.csdn.net/lu\_1u/article/details/73864012][http_blog.csdn.net_lu_1u_article_details_73864012]

#include<stdio.h>
    #include<stdlib.h>
    
    int unionSets(int *A, int *B, int lenA, int lenB)//并集
    {
    	int i, j;
    	int flag, index = lenB;
    	int *buffer = (int*)malloc(sizeof(int) * (lenA + lenB));
    	for (i = 0; i < lenB; i++) {
    		buffer[i] = B[i];
    	}
    	for (i = 0; i < lenA; i++) {
    		flag = 1;
    		for (j = 0; j < lenB; j++) {
    			if (A[i] == B[j]) {
    				flag = 0;
    			}
    		}
    		if (flag) {
    			buffer[index] = A[i];
    			index++;
    		}
    	}
    	printf("并集:{ ");
    	for (i = 0; i < index; i++) {
    		printf("%d ", buffer[i]);
    	}
    	printf("}\n");
    }
    
    int intersection(int *A, int *B, int lenA, int lenB)//交集
    {
    	int i, j;
    	int flag, index = 0, len = lenA > lenB ? lenA : lenB;
    	int *buffer = (int*)malloc(sizeof(int) * len);
    	for (i = 0; i < lenA; i++) {
    		flag = 0;
    		for (j = 0; j < lenB; j++) {
    			if (A[i] == B[j]) {
    				flag = 1;
    			}
    		}
    		for (j = 0; j < index; j++) {
    			if (A[i] == buffer[j]) {
    				flag = 0;
    			}
    		}
    		if (flag) {
    			buffer[index] = A[i];
    			index++;
    		}
    	}
    	printf("交集:{ ");
    	for (i = 0; i < index; i++) {
    		printf("%d ", buffer[i]);
    	}
    	printf("}\n");
    
    }
    
    int complementary(int *A, int *B, int lenA, int lenB)//相对补
    {
    	int i, j;
    	int flag, index = 0;
    	int *buffer = (int*)malloc(sizeof(int)*lenA);
    	for (i = 0; i < lenA; i++) {
    		flag = 1;
    		for (j = 0; j < lenB; j++) {
    			if (A[i] == B[j]) {
    				flag = 0;
    			}
    		}
    		if (flag) {
    			buffer[index] = A[i];
    			index++;
    		}
    	}
    	printf("相对补:{ ");
    	for (i = 0; i < index; i++) {
    		printf("%d ", buffer[i]);
    	}
    	printf("}\n");
    }
    
    int SymDifference(int *A, int *B, int lenA, int lenB)//对称差
    {
    	int i, j;
    	int flag, index = 0;
    	int *buffer = (int*)malloc(sizeof(int)*lenA);
    	for (i = 0; i < lenA; i++) {
    		flag = 1;
    		for (j = 0; j < lenB; j++) {
    			if (A[i] == B[j]) {
    				flag = 0;
    			}
    		}
    		if (flag) {
    			buffer[index] = A[i];
    			index++;
    		}
    	}
    	for (i = 0; i < lenB; i++) {
    		flag = 1;
    		for (j = 0; j < lenA; j++) {
    			if (B[i] == A[j]) {
    				flag = 0;
    			}
    		}
    		if (flag) {
    			buffer[index] = B[i];
    			index++;
    		}
    	}
    	printf("对称差:{ ");
    	for (i = 0; i < index; i++) {
    		printf("%d ", buffer[i]);
    	}
    	printf("}\n");
    }
    
    int equalSets(int *A, int *B, int lenA, int lenB)//集合相等
    {
    	int top = 0, i, j, temp;
    	int *buffer = (int*)malloc(sizeof(int) * lenA);
    	if (lenA != lenB) {
    		printf("\nA与B相等\n");
    		return 0;
    	}
    	for (i = 0; i < lenA; i++) {
    		for (j = i + 1; j < lenA; j++) {
    			if (A[i] < A[j]) {
    				temp = A[i];
    				A[i] = A[j];
    				A[j] = temp;
    			}
    		}
    	}
    	for (i = 0; i < lenB; i++) {
    		for (j = i + 1; j < lenB; j++) {
    			if (B[i] < B[j]) {
    				temp = B[i];
    				B[i] = B[j];
    				B[j] = temp;
    			}
    		}
    	}
    	for (i = 0; i < lenA; i++) {
    		if (A[i] != B[i]) {
    			printf("\nA与B不相等\n");
    			return 0;
    		}
    	}
    	printf("相等\n");
    }
    
    int powerSets(int *A, int lenA)//幂集
    {
    	int i, j;
    	int tag, index;
    	printf("幂集:{ { 空集 }, ");
    	for (tag = 1; tag <= lenA; tag++) {
    		for (index = 0; index < lenA - tag + 1; index++) {
    			printf("{ ");
    			for (i = index,j=0; j < tag; i++,j++) {
    				printf("%d ", A[i]);
    			}
    			printf("},");
    		}
    	}
    	printf("}\n");
    }
    
    int main()
    {
    	int *A, *B;
    	int lenA, lenB;
    	int i;
    	printf("输入A,B的元素个数:  ");
    	scanf("%d%d", &lenA, &lenB);
    
    	A = (int*)malloc(sizeof(int) * lenA);
    	B = (int*)malloc(sizeof(int) * lenB);
    	printf("输入A的元素\n");
    	for (i = 0; i < lenA; i++) {
    		scanf("%d", &A[i]);
    	}
    	getchar();
    	printf("输入B的元素\n");
    	for (i = 0; i < lenB; i++) {
    		scanf("%d", &B[i]);
    	}
    	equalSets(A, B, lenA, lenB);
    	unionSets(A, B, lenA, lenB);
    	intersection(A, B, lenA, lenB);
    	printf("A对B的");
    	complementary(A, B, lenA, lenB);
    	printf("B对A的");
    	complementary(B, A, lenA, lenB);
    	SymDifference(A, B, lenA, lenB);
    	printf("A的");
    	powerSets(A, lenA);
    	printf("B的");
    	powerSets(B, lenB);
    	system("pause");
    	return 0;
    }

[http_blog.csdn.net_lu_1u_article_details_73864012]: http://blog.csdn.net/lu_1u/article/details/73864012