程序代码：

假设范围是100--999
方法1，逻辑比较清晰
public class Main {
    public static void main(String[] args) {
        int a, b ,c;
        for(int i = 100; i < 1000; i++){
            a = i / 100;
            b = i / 10 % 10;
            c = i % 10;
            if(a * a * a + b * b *b + c * c * c == i){
                System.out.println(i);
            }
        }
    }
}
方法2，效率好点
public class Main {
    public static void main(String[] args) {
        for(int a = 1; a < 10; a++){
            for(int b = 0; b < 10; b++){
                for(int c = 0; c < 10; c++){
                    int num = 100 * a + 10 * b + c;
                    if(a * a * a + b * b * b + c * c *c == num){
                        System.out.println(num);
                    }
                }
            }
        }
    }
}