以下是几种使用 Python 解决鸡兔同笼问题的代码实现： #### 方法一：使用循环遍历 ```python def solve(total, legs): for chicken in range(total + 1): rabbit = total - chicken if 2 * chicken + 4 * rabbit == legs: return (chicken, rabbit) return None total = int(input("请输入鸡兔总数：")) legs = int(input("请输入脚的总数：")) result = solve(total, legs) if result: print("鸡的数量:", result[0]) print("兔的数量:", result[1]) else: print("无解") ``` #### 方法二：使用数学公式计算 ```python def chicken_rabbit(total, legs): rabbits = legs // 2 - total chickens = total - rabbits if chickens >= 0 and rabbits >= 0 and 2 * chickens + 4 * rabbits == legs: return chickens, rabbits return None total = int(input("请输入鸡兔总数：")) legs = int(input("请输入脚的总数：")) result = chicken_rabbit(total, legs) if result: print("鸡的数量:", result[0]) print("兔的数量:", result[1]) else: print("无解") ``` #### 方法三：考虑输入合法性 ```python def chicken_rabbit(total, legs): # 初始化鸡和兔子的数量 chicken = 0 rabbit = 0 # 检查输入是否合法 if legs < total or legs > total * 4: return "无解", "无解" # 计算兔子数量 rabbit = (legs - total * 2) // 2 # 计算鸡的数量 chicken = total - rabbit # 检查解是否合法 if chicken < 0 or rabbit < 0: return "无解", "无解" return chicken, rabbit total = int(input("请输入总头数：")) legs = int(input("请输入总脚数：")) chickens, rabbits = chicken_rabbit(total, legs) if chickens == "无解" or rabbits == "无解": print("无解") else: print("鸡的数量为：", chickens) print("兔子的数量为：", rabbits) ```