题目:
题解:
int cmp(int* a, int* b) {
return *a - *b;
}
int* largestDivisibleSubset(int* nums, int numsSize, int* returnSize) {
int len = numsSize;
qsort(nums, numsSize, sizeof(int), cmp);
// 第 1 步:动态规划找出最大子集的个数、最大子集中的最大整数
int dp[len];
for (int i = 0; i < len; i++) {
dp[i] = 1;
}
int maxSize = 1;
int maxVal = dp[0];
for (int i = 1; i < len; i++) {
for (int j = 0; j < i; j++) {
// 题目中说「没有重复元素」很重要
if (nums[i] % nums[j] == 0) {
dp[i] = fmax(dp[i], dp[j] + 1);
}
}
if (dp[i] > maxSize) {
maxSize = dp[i];
maxVal = nums[i];
}
}
// 第 2 步:倒推获得最大子集
int* res = malloc(sizeof(int) * len);
*returnSize = 0;
if (maxSize == 1) {
res[(*returnSize)++] = nums[0];
return res;
}
for (int i = len - 1; i >= 0 && maxSize > 0; i--) {
if (dp[i] == maxSize && maxVal % nums[i] == 0) {
res[(*returnSize)++] = nums[i];
maxVal = nums[i];
maxSize--;
}
}
return res;
}