537. Complex Number Multiplication

本文介绍了一种通过解析字符串形式的复数并计算其乘积的方法。利用C++实现了一个解决方案,该方案能够准确地从输入字符串中提取实部和虚部,并计算两个复数的乘积。

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Given two strings representing two complex numbers.

You need to return a string representing their multiplication. Note i2 = -1 according to the definition.
这道题就是很简单的思路,根据公式,但是不一样的是,要注意什么时候是”+”号,什么时候是“i”,然后可以根据提交结果显示去写测试代码。
代码如下:

class Solution {
public:
    string complexNumberMultiply(string a, string b) {
        string x1,x2;//78+-76i//-86+72i
        string y1,y2;
        bool flag=true;

        for(int i=0;i<a.size();i++){
          if(flag&&a[i]!='+'){
              x1+=a[i];
          }  
          else if(a[i]=='+'){
             flag=false;
          }
          else if(!flag&&a[i]!='i'&&a[i]!='+'){
              x2+=a[i];
          }
        }
        flag=true;
        for(int i=0;i<b.size();i++){
          if(flag&&b[i]!='+'){
              y1+=b[i];
          }  
          else if(b[i]=='+'){
             flag=false;
          }
          else if(!flag&&b[i]!='i'&&b[i]!='+'){
              y2+=b[i];
          }
        }
        int s1,s2,s3;
        s1=atoi(x1.c_str())*atoi(y1.c_str());
        s2=atoi(x1.c_str())*atoi(y2.c_str())+atoi(y1.c_str())*atoi(x2.c_str());
        s3=(-1)*atoi(x2.c_str())*atoi(y2.c_str());
int k=s1+s3;
        string rel=to_string(k)+"+"+to_string(s2)+"i";
        return rel;
    }
};

1. Problem Description: A complex number is a number of the form a +bi, where a and b are real numbers and i is √-1 The numbers a and b are known as the real part and imaginary part of the complex number, respectively. You can perform addition, subtraction, multiplication, and division for complex numbers using the following formula: a+bi+c+di=(a+c)+(b+d)i a+bi-(c+di)=(a-c)+(b-d)i 第2页共2页 (a+bi)*(c+di)=(ac-bd)+(bc+ad)i (a+bi)/c+di)=(ac+bd)/c²+d²)+(bc-ad)i/(c²+d²) You can also obtain the absolute value for a complex number using the following formula: latbil=√a²+b (A complex number can be interpreted as a point on a plane by identifying the (a, b) values as the coordinates of the point. The absolute value of the complex number corresponds to the distance of the point to the origin, as shown in Figure 13.12b.) Design a class named Complex for representing complex numbers and the methods add, subtract, multiply, divide, abs for performing complex-number operations, and override toString method for returning a string representation for a complex number. The toString method returns a + bi as a string. If b is 0, it simply returns a. Provide three constructors Complex(a, b), Complex(a), and Complex(). Complex() creates a Complex object for number 0 and Complex(a) creates a Complex object with 0 for b. Also provide the getRealPart() and getlmaginaryPart() methods for returning the real and imaginary part of the complex number, respectively. Your Complex class should also implement the Cloneable interface. Write a test program that prompts the user to enter two complex numbers and display the result of their addition, subtraction, multiplication, and division. Here is a sample run: <Output> Enter the first complex number: 3.5 5.5 Enter the second complex number:-3.5 1 (3.5 + 5.5i) +(-3.5 + 1.0i)= 0.0 + 6.5 (3.5 + 5.5i)-(-3.5 + 1.0i)= 7.0 + 4.5i (3.5 + 5.5i)*(-3.5 + 1.0i) =-17.75 +-15.75i (3.5 + 5.5i) /(-3.5 + 1.0i)=-0.5094 +-1.7i |3.5 + 5.5il = 6.519202405202649 <End Output>
最新发布
06-09
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