题目:数组中有一个数字出现的次数超过数字长度的一半,请找出这个数字。例如输入一个长度为9的数组{1, 2,3, 2, 2, 2, 5, 4, 2}.由于数字2在数组中出现了5次,超过数组长度的一半,因此输出2。
解题思路:数组中有一个数字出现的次数超过数组长度的一半,它出现的次数比其他所有数字出现的次数的和还要多。我们在遍历数组的时候保存两个值:一个是数组中的一个数字,一个是次数。当遍历到下一个数字的时候,如果下一个数字和之前保存的数字相同,则次数加1;如果下一个数字和之前保存的数字不同,则次数减1。如果次数为0,保存下一个数字,并把次数设置为1。要找的数字肯定是最后一次把次数设为1时对应的数字。
C#实现:
private static bool CheckInvalidArray(int[] numbers, int length) { bool bInputInvalid = false; if (numbers == null || length <= 0) bInputInvalid = true; return bInputInvalid; } private static bool CheckMoreThanHalf(int[] numbers, int length, int number) { int times = 0; for (int i = 0; i < length; i++) if (numbers[i] == number) times++; bool isMoreThanHalf = true; if (times * 2 <= length) { isMoreThanHalf = false; } return isMoreThanHalf; } public static int MoreThanHalfNum(int[] numbers, int length) { if (CheckInvalidArray(numbers, length)) return 0; int result = numbers[0]; int times = 1; for (int i = 1; i < length; i++) { if (times == 0) { result = numbers[i]; times = 1; } else if (numbers[i] == result) times++; else times--; } if (!CheckMoreThanHalf(numbers, length, result)) result = 0; return result; }
Java实现:
private static Boolean CheckInvalidArray(int[] numbers, int length) { Boolean bInputInvalid = false; if (numbers == null || length <= 0) bInputInvalid = true; return bInputInvalid; } private static Boolean CheckMoreThanHalf(int[] numbers, int length, int number) { int times = 0; for (int i = 0; i < length; i++) if (numbers[i] == number) times++; Boolean isMoreThanHalf = true; if (times * 2 <= length) { isMoreThanHalf = false; } return isMoreThanHalf; } public static int MoreThanHalfNum(int[] numbers, int length) { if (CheckInvalidArray(numbers, length)) return 0; int result = numbers[0]; int times = 1; for (int i = 1; i < length; i++) { if (times == 0) { result = numbers[i]; times = 1; } else if (numbers[i] == result) times++; else times--; } if (!CheckMoreThanHalf(numbers, length, result)) result = 0; return result; }
Python实现:
def check_invalid_array(numbers, length): b_input_invalid = False if numbers == None or length <= 0: b_input_invalid = True return b_input_invaliddef check_more_than_half(numbers, length, number): times = 0 for item in numbers: if item == number: times += 1 is_more_than_half = True if times *2 <= length: is_more_than_half = False return is_more_than_halfdef more_than_half_num(numbers, length): if check_invalid_array(numbers, length): return 0 result = numbers[0] times = 1 for item in numbers: if times == 0: result = item times = 1 elif item == result: times += 1 else: times -= 1 if not check_more_than_half(numbers, length, result): result = 0 return result