使用C++实现四位数变换到6174的过程及步数计算

```cpp #include <iostream> #include <algorithm> using namespace std; // 函数用于将数字重新组合成最大数和最小数 void getMaxMin(int num, int &maxNum, int &minNum) { int digits[4]; for (int i = 0; i < 4; ++i) { digits[i] = num % 10; num /= 10; } // 对数字进行排序，得到最小数 sort(digits, digits + 4); minNum = digits[0] * 1000 + digits[1] * 100 + digits[2] * 10 + digits[3]; // 对数字进行逆序排序，得到最大数 sort(digits, digits + 4, greater<int>()); maxNum = digits[0] * 1000 + digits[1] * 100 + digits[2] * 10 + digits[3]; } int main() { int num; cin >> num; int steps = 0; while (num != 6174) { int maxNum, minNum; getMaxMin(num, maxNum, minNum); int result = maxNum - minNum; cout << maxNum << "-" << minNum << "=" << result << endl; num = result; steps++; } cout << steps << endl; return 0; } ``` ######[AI问答 | 379点数解答 | 2026-02-27 22:25:08]