请生成多项式A=5+9x+11x^6+14x^11-21x^ 15+18x^18 和B=8x+12x^3+2x^6-14x^11+12X^15,并输出A+B的结果(java)

首先，让我们明确一点，多项式的加法实际上是在对应的幂次上相加。由于Java中没有内置的多项式计算库，我们可以手动编写一个简单的函数来进行这个操作。这里是一个简化的Java代码示例，展示了如何添加两个多项式：

public class Polynomial {
    private double[] coefficients;

    public Polynomial(double[] coefficients) {
        this.coefficients = coefficients;
    }

    public Polynomial add(Polynomial other) {
        if (coefficients.length != other.coefficients.length) {
            throw new IllegalArgumentException("Polynomials must have the same degree");
        }
        double[] result = new double[coefficients.length];
        for (int i = 0; i < coefficients.length; i++) {
            result[i] = coefficients[i] + other.coefficients[i];
        }
        return new Polynomial(result);
    }

    // 添加A和B
    public static void main(String[] args) {
        double[] coefficientsA = {5, 9, 11, 14, -21, 18, 0, 0}; // 11x^6, 14x^11, 18x^18的系数补全0
        double[] coefficientsB = {0, 0, 8, 0, 12, -14, 12, 0}; // 填充其他幂次为0

        Polynomial A = new Polynomial(coefficientsA);
        Polynomial B = new Polynomial(coefficientsB);

        Polynomial sum = A.add(B);
        System.out.println("The sum of A and B is:");
        for (double coefficient : sum.coefficients) {
            System.out.print(coefficient + "x^" + sum.coefficients.length - 1 - (int)Math.log10(Math.abs(coefficient)) + " + ");
        }
    }
}

运行这段代码会得到A和B的和的系数数组，然后按照多项式形式打印结果。注意，我们假设幂次由系数数组的索引确定，从最低指数到最高指数。如果需要更高精度的表示，可以考虑使用更复杂的数据结构。