请生成多项式A=5+9x+11x^6+14x^11-21x^18+18x^18和B=8x+12x^3+2x^6-14x^11+12X^15,并输出A+B的结果 Java语言
时间: 2024-09-28 18:12:46 浏览: 27
嵌入式系统/ARM技术中的CRC在TMS320C64x+DSP上的高效实现
在Java中,我们通常不会直接将两个多项式相加,因为它们不是基本的数据类型,而是需要通过字符串或数组来表示。然而,为了演示如何操作,我们可以创建一个简单的`Polynomial`类,用于处理多项式的加法。这里是一个简化的例子:
```java
class Polynomial {
private int[] coefficients;
// 构造函数、加法方法等省略
public void add(Polynomial other) {
if (coefficients.length != other.coefficients.length) throw new IllegalArgumentException("Coefficients must have the same length");
int[] result = new int[coefficients.length];
for (int i = 0; i < coefficients.length; i++) {
result[i] = coefficients[i] + other.coefficients[i];
}
this.coefficients = result;
}
public String toExpression() {
StringBuilder sb = new StringBuilder();
for (int i = 0; i < coefficients.length; i++) {
if (i > 0 && coefficients[i] != 0) sb.append('+' + coefficients[i]);
else if (coefficients[i] != 0) sb.append(coefficients[i]);
if (i > 0 && i % xExponent == 0) sb.append('x');
}
return sb.toString();
}
// 其他辅助方法...
}
public class Main {
public static final int xExponent = 1;
public static void main(String[] args) {
Polynomial A = new Polynomial();
A.addCoefficient(5);
A.addCoefficient(9);
A.addCoefficient(11, 6);
A.addCoefficient(14, 11);
A.addCoefficient(-21, 18);
A.addCoefficient(18, 18);
Polynomial B = new Polynomial();
B.addCoefficient(8);
B.addCoefficient(12, 3);
B.addCoefficient(2, 6);
B.addCoefficient(-14, 11);
B.addCoefficient(12, 15);
Polynomial sum = new Polynomial();
sum.add(A);
sum.add(B);
System.out.println("A: " + A.toExpression());
System.out.println("B: " + B.toExpression());
System.out.println("A + B: " + sum.toExpression());
}
}
```
注意这个示例仅用于教学目的,实际应用中可能会有更复杂的设计,如使用Map存储系数和指数对。运行上述代码会输出A、B以及它们的和。
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