编写应用程序求1！+2！+3！+…+10!。

以下是两种Java语言编写应用程序求1！+2！+3！+…+10!的例子：

1.for循环和嵌套的for循环计算阶乘并求和

public class FactorialSum {
    public static void main(String[] args) {
        int sum = 0;
        for (int i = 1; i <= 10; i++) {
            int factorial = 1;
            for (int j = 1; j <= i; j++) {
                factorial *= j;
            }
            sum += factorial;
        }
        System.out.println("1!+2!+3!+...+10!=" + sum);
    }
}

2.使用递归函数调用阶乘方法求和

public class FactorialSum {
    public static void main(String[] args) {
        int sum = 0;
        for (int i = 1; i <= 10; i++) {
            sum += factorial(i);
        }
        System.out.println("1!+2!+3!+...+10!=" + sum);
    }

    public static int factorial(int n) {
        if (n == 1) {
            return 1;
        } else {
            return n * factorial(n - 1);
        }
    }
}