Create 322-Coin-Change.cpp

cpp/322-Coin-Change.cpp

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+class Solution {
+public:
+    int coinChange(vector<int>& coins, int amount) {
+        vector<int> dp(amount + 1, amount + 1); // minimum coin combinations for 0 to amount, set default max value as amount+1(which is impossible to make)
+        dp[0] = 0; // base case: if amount is 0, 0 coins
+        for (int a = 1; a <= amount; ++a) {
+            for (int c : coins) {
+                if (a - c >= 0) // possible to try
+                    // min of (current min combination, using one for this coin and min of remainder)
+                    dp[a] = min(dp[a], 1 + dp[a - c]);
+            }
+        }
+        return dp[amount] != amount + 1 ? dp[amount] : -1;
+    }
+};