7-76 复数四则运算 (15 分)
本题要求编写程序，计算2个复数的和、差、积、商。
输入格式：
输入在一行中按照a1 b1 a2 b2的格式给出2个复数C1=a1+b1i和C2=a2+b2i的实部和虚部。题目保证C2不为0。
输出格式：
分别在4行中按照(a1+b1i) 运算符 (a2+b2i) = 结果的格式顺序输出2个复数的和、差、积、商，数字精确到小数点后1位。如果结果的实部或者虚部为0，则不输出。如果结果为0，则输出0.0。
输入样例1：
2 3.08 -2.04 5.06
结尾无空行
输出样例1：
(2.0+3.1i) + (-2.0+5.1i) = 8.1i (2.0+3.1i) - (-2.0+5.1i) = 4.0-2.0i (2.0+3.1i) * (-2.0+5.1i) = -19.7+3.8i (2.0+3.1i) / (-2.0+5.1i) = 0.4-0.6i
结尾无空行
输入样例2：
1 1 -1 -1.01
输出样例2：
(1.0+1.0i) + (-1.0-1.0i) = 0.0 (1.0+1.0i) - (-1.0-1.0i) = 2.0+2.0i (1.0+1.0i) * (-1.0-1.0i) = -2.0i (1.0+1.0i) / (-1.0-1.0i) = -1.0
#include<iostream> using namespace std; int main(){ double a1,b1,a2,b2; scanf("%lf%lf%lf%lf",&a1,&b1,&a2,&b2); { double a,b; a=a1+a2; b=b1+b2; // cout<<a<<endl; if(a==0&&b==0) printf("(%.1lf+%.1lfi) + (%.1lf-%.1lfi) = 0.0",a1,b1,a2,b2); else if(a!=0&&b!=0) printf("(%.1lf+%.1lfi) + (%.1lf+%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,a,b); else if(a==0) printf("(%.1lf+%.1lfi) + (%.1lf+%.1lfi) = %.1lfi\n",a1,b1,a2,b2,b); else if(b==0) printf("(%.1lf+%.1lfi) + (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,a); } { double a,b; a=a1-a2; b=b1-b2; if(a==0&&b==0) printf("(%.1lf+%.1lfi) - (%.1lf-%.1lfi) = 0.0",a1,b1,a2,b2); else if(a!=0&&b!=0) printf("(%.1lf+%.1lfi) - (%.1lf+%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,a,b); else if(a==0)printf("(%.1lf+%.1lfi) - (%.1lf+%.1lfi) = %.1lfi\n",a1,b1,a2,b2,b); else if(b==0) printf("(%.1lf+%.1lfi) - (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,a); } { double a,b; a=a1*a2-b1*b2; b=a1*b2+a2*b1; if(b==0) printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,a); else if(a==0)printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = %.1lfi\n",a1,b1,a2,b2,b); else if(a!=0&&b!=0) printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,a,b); else if(a==0&&b==0) printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = 0.0",a1,b1,a2,b2); } { double a,b; a=(a1*a2+b1*b2)/(a2*a2+b2*b2); b=(-a1*b2+a2*b1)/(a2*a2+b2*b2); if(b==0) printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = %.1lf\n",a1,b1,a2,b2,a); else if(a==0)printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = %.1lfi\n",a1,b1,a2,b2,b); else if(a!=0&&b!=0) printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = %.1lf+%.1lfi\n",a1,b1,a2,b2,a,b); else if(a==0&&b==0) printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = 0.0",a1,b1,a2,b2); } return 0; }
最先开始的思路，结果发现处理不了虚部的符号，只得运用数据结构
#include<stdio.h> #include<stdlib.h> typedef struct node{ double a; double b; }fu; int pan(double a, double b) //判断实部和虚部是否为零 { if(a==0&& b!=0) return 1; else if(a!=0 && b==0) return 2; else if(a==0 && b==0) return 3; else if(a!=0 && b!=0) return 0; } double qu(double a) //四舍五入函数 只对小数点后两位做 { double b=(int)(a*10)/10; double s=a*100; int p=(int)s%10; if(abs(p)>=5) return a<0?(b-0.1):(b+0.1); else if(b==0) return 0; else if(abs(p)<5 && abs(p)>0) return b; else if(abs(p)==0) return a; } int main() { double a1, b1, a2, b2; fu f[4]; char ch[4]={'+', '-', '*', '/'}; scanf("%lf%lf%lf%lf", &a1, &b1, &a2, &b2); //输入 f[0].a=a1+a2; f[0].b=b1+b2; f[1].a=a1-a2; f[1].b=b1-b2; f[2].a=a1*a2-b1*b2; f[2].b=a1*b2+a2*b1; f[3].a=(a1*a2+b1*b2)/(a2*a2+b2*b2); f[3].b=(b1*a2-a1*b2)/(a2*a2+b2*b2); // printf("%lf\n", qu(f[3].a)); /* for(int i=0; i<4; i++) { printf("%.1lf %.1lf\n\n", f[i].a, f[i].b); f[i].a=qu(f[i].a); f[i].b=qu(f[i].b); printf("%.1lf %.1lf\n", f[i].a, f[i].b); }*/ for(int i=0; i<4; i++) //判断并输出 { if(pan(qu(f[i].a), qu(f[i].b))==1) printf("(%.1lf%+.1lfi) %c (%.1lf%+.1lfi) = %.1lfi\n", a1, b1, ch[i], a2, b2, f[i].b); else if(pan(qu(f[i].a), qu(f[i].b))==2) printf("(%.1lf%+.1lfi) %c (%.1lf%+.1lfi) = %.1lf\n", a1, b1, ch[i], a2, b2, f[i].a); else if(pan(qu(f[i].a), qu(f[i].b))==3) printf("(%.1lf%+.1lfi) %c (%.1lf%+.1lfi) = 0.0\n", a1, b1, ch[i], a2, b2); else if(pan(qu(f[i].a), qu(f[i].b))==0) printf("(%.1lf%+.1lfi) %c (%.1lf%+.1lfi) = %.1lf%+.1lfi\n", a1, b1, ch[i], a2, b2, f[i].a, f[i].b); } return 0; }
别人的思路
#include<stdio.h> void shizi(double x,double y); //负责打印式子 void result(double x,double y); //负责打印结果 struct Love{ double shi,xu; //表示实部，虚部 }love1,love2; int main() { scanf("%lf%lf%lf%lf",&love1.shi,&love1.xu,&love2.shi,&love2.xu); //下面的计算根据复数的实部与虚部计算公式： //求加法的实部与虚部值 double jia_shi = love1.shi + love2.shi; double jia_xu = love1.xu + love2.xu; //求减法的实部与虚部值 double jian_shi = love1.shi - love2.shi; double jian_xu = love1.xu - love2.xu; //求乘法的实部与虚部值 double cheng_shi = love1.shi*love2.shi-love1.xu*love2.xu; double cheng_xu = love1.xu*love2.shi+love1.shi*love2.xu; //求除法的实部与虚部值 double chu_shi = (love1.shi*love2.shi+love1.xu*love2.xu)/(love2.shi*love2.shi+love2.xu*love2.xu); double chu_xu = (love1.xu*love2.shi-love1.shi*love2.xu)/(love2.shi*love2.shi+love2.xu*love2.xu); //因为题目的输出结果要分多种情况，那就在函数里来判断情况输出吧 //加法 shizi(love1.shi,love1.xu); //式子 printf(" + "); shizi(love2.shi,love2.xu); //式子 printf(" = "); result(jia_shi,jia_xu); //结果 //减法 shizi(love1.shi,love1.xu); //式子 printf(" - "); shizi(love2.shi,love2.xu); //式子 printf(" = "); result(jian_shi,jian_xu); //结果 //乘法 shizi(love1.shi,love1.xu); //式子 printf(" * "); shizi(love2.shi,love2.xu); //式子 printf(" = "); result(cheng_shi,cheng_xu); //结果 //除法 shizi(love1.shi,love1.xu); //式子 printf(" / "); shizi(love2.shi,love2.xu); //式子 printf(" = "); result(chu_shi,chu_xu); //结果 return 0; } void shizi(double x,double y) //负责打印式子 { if(y<0) //虚部为负数的时候不用加'+'号 printf("(%.1lf%.1lfi)",x,y); else printf("(%.1lf+%.1lfi)",x,y); //反之成立 } void result(double rshi,double rxu) { //虚部不存在时，只需输出实部 if(rxu<=0.05&&rxu>=-0.05) //其实这里也判断了两段都没有的情况，输出0.0 printf("%.1lf\n",rshi); else if(rshi<=0.05&&rshi>=-0.05) //实部不存在时，输出虚部单个即可 printf("%.1lfi\n",rxu); else if(rxu<0) printf("%.1lf%.1lfi\n",rshi,rxu); //结果虚部为负数的时候不用加'+'号 else printf("%.1lf+%.1lfi\n",rshi,rxu); //反之成立 }
/*虚部 实部分别进行计算 * * * */ #include<stdio.h> #include<math.h> void result(double a1,double b1,double a2,double b2,int i); int main() { double a1,b1,a2,b2; scanf("%lf%lf%lf%lf",&a1,&b1,&a2,&b2); for(int i=0;i<4;i++) { if(i==0) { if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) + (%.1lf+%.1lfi) = ",a1,b1,a2,b2); else if(b1<0 && b2>=0) printf("(%.1lf%.1lfi) + (%.1lf+%.1lfi) = ",a1,b1,a2,b2); else if(b1<0 && b2<0) printf("(%.1lf%.1lfi) + (%.1lf%.1lfi) = ",a1,b1,a2,b2); else printf("(%.1lf+%.1lfi) + (%.1lf%.1lfi) = ",a1,b1,a2,b2); result(a1,b1,a2,b2,i); } else if(i==1){ if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) - (%.1lf+%.1lfi) = ",a1,b1,a2,b2); else if(b1<0 && b2>=0) printf("(%.1lf%.1lfi) - (%.1lf+%.1lfi) = ",a1,b1,a2,b2); else if(b1<0 &&b2<0) printf("(%.1lf%.1lfi) - (%.1lf%.1lfi) = ",a1,b1,a2,b2); else printf("(%.1lf+%.1lfi) - (%.1lf%.1lfi) = ",a1,b1,a2,b2); result(a1,b1,a2,b2,i); } else if(i==2){ if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = ",a1,b1,a2,b2); else if(b1<0 && b2>=0) printf("(%.1lf%.1lfi) * (%.1lf+%.1lfi) = ",a1,b1,a2,b2); else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) * (%.1lf%.1lfi) = ",a1,b1,a2,b2); else printf("(%.1lf+%.1lfi) * (%.1lf%.1lfi) = ",a1,b1,a2,b2); result(a1,b1,a2,b2,i); } else if(i==3){ if(b1>=0&&b2>=0) printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = ",a1,b1,a2,b2); else if(b1<0 && b2>=0) printf("(%.1lf%.1lfi) / (%.1lf+%.1lfi) = ",a1,b1,a2,b2); else if(b1<0&&b2<0) printf("(%.1lf%.1lfi) / (%.1lf%.1lfi) = ",a1,b1,a2,b2); else printf("(%.1lf+%.1lfi) / (%.1lf%.1lfi) = ",a1,b1,a2,b2); result(a1,b1,a2,b2,i); } } } void result(double a1,double b1,double a2,double b2,int i){ double really,v; if(i==0){ really=a1+a2; v=b1+b2; } else if(i==1){ really=a1-a2; v=b1-b2; } else if(i==2){ really=a1*a2-b1*b2; v=a2*b1+a1*b2; } else if(i==3){ /*double fenzi,fenmu; // MultReally(a1,b1,a2,-b2)+MultV(a1,b1,a2,-b2); fenmu=a2*a2-b2*b2; really=MultReally(a1,b1,a2,-b2)/fenmu; v=MultV(a1,b1,a2,-b2)/fenmu;*/ really=(a1*a2+b1*b2)/(a2*a2+b2*b2); v=(a2*b1-a1*b2)/(a2*a2+b2*b2); if(a2==0&&b2==0){ really=0; v=0; } } // if(really==0) printf("yes\n"); if(fabs(really)<0.1&&fabs(v)>0.1){//实部为0 printf("%.1fi\n",v); } else if(fabs(really)>0.1&&fabs(v)<0.1) {//虚部为0 printf("%.1lf\n",really); } else if(fabs(really)>0.1&&fabs(v)>0.1){ if(v<0) printf("%.1lf%.1lfi\n",really,v); else printf("%.1lf+%.1lfi\n",really,v); } else if(fabs(really)<0.1&&fabs(v)<0.1) printf("0.0\n"); }
#include<iostream> using namespace std; void reslut(double x,double y){ if(y<0.05&&y>=-0.05)printf("%.1lf\n",x); else if(x<=0.05&&x>=-0.05)printf("%.1lfi\n",y); else if(y<0)printf("%.1lf%.1lfi\n",x,y); else printf("%.1lf+%.1lfi\n",x,y); } void shizi(double a,double b){ if(b<0)printf("(%.1lf%.1lfi)",a,b); else printf("(%.1lf+%.1lfi)",a,b); } int main(){ // double a,b,c,d,x=0,y=0; // cin>>a>>b>>c>>d; // for(int i=0;i<4;i++){ // if(i==0){ // x=a+c; // y=b+d; // if(y<0.05&&y>=-0.05)printf("(%.1lf-%.1lfi) + (%.1lf+%.1lfi) = %.1lf\n",a,b,c,d,x); // else if(x<=0.05&&x>=-0.05)printf("(%.1lf+%.1lfi) + (%.1lf+%.1lfi) = %.1lfi\n",a,b,c,d,y); // else if(y<0)printf("(%.1lf+%.1lfi) + (%.1lf+%.1lfi) = %.1lf%.1lfi\n",a,b,c,d,x,y); // else printf("(%.1lf+%.1lfi) + (%.1lf+%.1lfi) = %.1lf+%.1lfi\n",a,b,c,d,x,y); // } // if(i==1){ // x=a-c; // y=b-d; // if(y<0.05&&y>=-0.05)printf("(%.1lf+%.1lfi) - (%.1lf+%.1lfi) = %.1lf\n",a,b,c,d,x); // else if(x<=0.05&&x>=-0.05)printf("(%.1lf+%.1lfi) - (%.1lf+%.1lfi) = %.1lfi\n",a,b,c,d,y); // else if(y<0)printf("(%.1lf+%.1lfi) - (%.1lf+%.1lfi) = %.1lf%.1lfi\n",a,b,c,d,x,y); // else printf("(%.1lf+%.1lfi) - (%.1lf+%.1lfi) = %.1lf+%.1lfi\n",a,b,c,d,x,y); // } // if(i==2){ // x=a*c-b*d; // y=a*d+b*c; // if(y<0.05&&y>=-0.05)printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = %.1lf\n",a,b,c,d,x); // else if(x<=0.05&&x>=-0.05)printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = %.1lfi\n",a,b,c,d,y); // else if(y<0)printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = %.1lf%.1lfi\n",a,b,c,d,x,y); // else printf("(%.1lf+%.1lfi) * (%.1lf+%.1lfi) = %.1lf+%.1lfi\n",a,b,c,d,x,y); // } // if(i==3){ // x=(a*c+b*d)/(c*c+d*d); // y=(-a*d+b*c)/(c*c+d*d); // if(y<0.05&&y>=-0.05)printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = %.1lf\n",a,b,c,d,x); // else if(x<=0.05&&x>=-0.05)printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = %.1lfi\n",a,b,c,d,y); // else if(y<0)printf("(%.1lf+%.1lfi) / (%.1lf+%.1lfi) = %.1lf%.1lfi\n",a,b,c,d,x,y); // else printf("(%.1lf+%.1lfi) + (%.1lf/%.1lfi) = %.1lf+%.1lfi\n",a,b,c,d,x,y); // } // } double a,b,c,d,x,y; cin>>a>>b>>c>>d; for(int i=0;i<4;i++){ if(i==0){ x=a+c; y=b+d; shizi(a,b); cout<<" + "; shizi(c,d); cout<<" = "; reslut(x,y); } if(i==1){ x=a-c; y=b-d; shizi(a,b); cout<<" - "; shizi(c,d); cout<<" = "; reslut(x,y); } if(i==2){ x=a*c-b*d; y=a*d+b*c; shizi(a,b); cout<<" * "; shizi(c,d); cout<<" = "; reslut(x,y); } if(i==3){ x=(a*c+b*d)/(c*c+d*d); y=(-a*d+b*c)/(c*c+d*d); shizi(a,b); cout<<" / "; shizi(c,d); cout<<" = "; reslut(x,y); } } return 0; }
