给定为字符串的两个复数相乘
给定两个字符串形式的复数。我们的任务是打印这两个复数的乘积。
示例:
Input : str1 = "1+1i"
str2 = "1+1i"
Output : "0+2i"
Here, (1 + i) * (1 + i) =
1 + i2 + 2 * i = 2i or "0+2i"
Input : str1 = "1+-1i"
str2 = "1+-1i"
Output : "0+-2i"
Here, (1 - i) * (1 - i) =
1 + i2 - 2 * i = -2i or "0+-2i"
两个复数的乘法可按如下方式进行:
我们只需根据“+”和“I”符号来分割给定复杂字符串的实部和虚部。我们将两个弦的实部 a 和 b 分别存储为x【0】和y【0】，虚部分别存储为x【1】和y【1】。然后，在将提取的部分转换为整数后，我们根据需要将实部和虚部相乘。然后，我们再次以所需的格式形成返回字符串并返回结果。
C++
// C++ Implementation of the above approach
#include <bits/stdc++.h>
using namespace std;
string complexNumberMultiply(string a, string b)
{
int i;
string x1;
int temp = 1;
// Traverse both strings, and
// check for negative numbers
for (i = 0; i < a.length(); i++)
{
if (a[i] == '+')
break;
if (a[i] == '-')
{
temp = -1;
continue;
}
x1.push_back(a[i]);
}
// String to int
int t1 = stoi(x1) * temp;
x1.clear();
temp = 1;
for (; i < a.length() - 1; i++)
{
if (a[i] == '-')
{
temp = -1;
continue;
}
x1.push_back(a[i]);
}
int t2 = stoi(x1) * temp;
x1.clear();
temp = 1;
for (i = 0; i < b.length(); i++)
{
if (b[i] == '+')
break;
if (b[i] == '-')
{
temp = -1;
continue;
}
x1.push_back(b[i]);
}
int t3 = stoi(x1) * temp;
x1.clear();
temp = 1;
for (; i < b.length() - 1; i++)
{
if (b[i] == '-')
{
temp = -1;
continue;
}
x1.push_back(b[i]);
}
int t4 = stoi(x1) * temp;
// Real Part
int ans = t1 * t3 - t2 * t4;
string s;
s += to_string(ans);
s += '+';
// Imaginary part
ans = t1 * t4 + t2 * t3;
s += to_string(ans);
s += 'i';
// Return the result
return s;
}
// Driver Code
int main()
{
string str1 = "1+1i";
string str2 = "1+1i";
cout << complexNumberMultiply(str1, str2);
return 0;
// Contributed By Bhavneet Singh
}
Java 语言(一种计算机语言，尤用于创建网站)
// Java program to multiply two complex numbers
// given as strings.
import java.util.*;
import java.lang.*;
public class GfG{
public static String complexNumberMultiply(String a, String b) {
// Spiting the real and imaginary parts
// of the given complex strings based on '+'
// and 'i' symbols.
String x[] = a.split("\\+|i");
String y[] = b.split("\\+|i");
// Storing the real part of complex string a
int a_real = Integer.parseInt(x[0]);
// Storing the imaginary part of complex string a
int a_img = Integer.parseInt(x[1]);
// Storing the real part of complex string b
int b_real = Integer.parseInt(y[0]);
// Storing the imaginary part of complex string b
int b_img = Integer.parseInt(y[1]);
// Returns the product.
return (a_real * b_real - a_img * b_img) + "+" +
(a_real * b_img + a_img * b_real) + "i";
}
// Driver function
public static void main(String argc[]){
String str1 = "1+1i";
String str2 = "1+1i";
System.out.println(complexNumberMultiply(str1, str2));
}
}
Python 3
# Python 3 program to multiply two complex numbers
# given as strings.
def complexNumberMultiply(a, b):
# Spiting the real and imaginary parts
# of the given complex strings based on '+'
# and 'i' symbols.
x = a.split('+')
x[1] = x[1][:-1] # for removing 'i'
y = b.split("+")
y[1] = y[1][:-1] # for removing 'i'
# Storing the real part of complex string a
a_real = int(x[0])
# Storing the imaginary part of complex string a
a_img = int(x[1])
# Storing the real part of complex string b
b_real = int(y[0])
# Storing the imaginary part of complex string b
b_img = int(y[1])
return str(a_real * b_real - a_img * b_img) \
+ "+" + str(a_real * b_img + a_img * b_real) + "i";
# Driver function
str1 = "1 + 1i"
str2 = "1 + 1i"
print(complexNumberMultiply(str1, str2))
# This code is contributed by ANKITKUMAR34
C
// C# program to multiply two complex
// numbers given as strings.
using System;
using System.Text.RegularExpressions;
class GfG{
public static String complexNumberMultiply(String a,
String b)
{
// Spiting the real and imaginary parts
// of the given complex strings based on '+'
// and 'i' symbols.
String []x = Regex.Split(a, @"\+|i");
String []y = Regex.Split(b, @"\+|i");
// Storing the real part of complex string a
int a_real = Int32.Parse(x[0]);
// Storing the imaginary part of complex string a
int a_img = Int32.Parse(x[1]);
// Storing the real part of complex string b
int b_real = Int32.Parse(y[0]);
// Storing the imaginary part of complex string b
int b_img = Int32.Parse(y[1]);
// Returns the product.
return(a_real * b_real - a_img * b_img) + "+" +
(a_real * b_img + a_img * b_real) + "i";
}
// Driver code
public static void Main(String []argc)
{
String str1 = "1+1i";
String str2 = "1+1i";
Console.WriteLine(complexNumberMultiply(str1, str2));
}
}
// This code is contributed by shikhasingrajput
服务器端编程语言（Professional Hypertext Preprocessor 的缩写）
<?php
// PHP program to multiply
// two complex numbers
// given as strings.
function complexNumberMultiply($a, $b)
{
// Spiting the real and
// imaginary parts of the
// given complex strings
// based on '+' and 'i' symbols.
$x = preg_split("/[\s+]+|i/" , $a);
$y = preg_split("/[\s+]+|i/" , $b);
// Storing the real part
// of complex string a
$a_real = intval($x[0]);
// Storing the imaginary
// part of complex string a
$a_img = intval($x[1]);
// Storing the real part
// of complex string b
$b_real = intval($y[0]);
// Storing the imaginary
// part of complex string b
$b_img = intval($y[1]);
// Returns the product.
return ($a_real * $b_real -
$a_img * $b_img) . "+" .
($a_real * $b_img +
$a_img * $b_real) . "i";
}
// Driver Code
$str1 = "1+1i";
$str2 = "1+1i";
echo complexNumberMultiply($str1, $str2);
// This code is contributed by mits
?>
java 描述语言
<script>
// javascript program to multiply two complex numbers
// given as strings.
function complexNumberMultiply(a, b) {
// Spiting the real and imaginary parts
// of the given complex strings based on '+'
// and 'i' symbols.
var x = a.split('+');
var y = b.split('+');
// Storing the real part of complex string a
var a_real = parseInt(x[0]);
// Storing the imaginary part of complex string a
var a_img = parseInt(x[1]);
// Storing the real part of complex string b
var b_real = parseInt(y[0]);
// Storing the imaginary part of complex string b
var b_img = parseInt(y[1]);
// Returns the product.
return (a_real * b_real - a_img * b_img) + "+" +
(a_real * b_img + a_img * b_real) + "i";
}
// Driver function
var str1 = "1+1i";
var str2 = "1+1i";
document.write(complexNumberMultiply(str1, str2));
// This code contributed by shikhasingrajput
</script>
输出:
0+2i
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