import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		// 人数：N
		int numN = sc.nextInt();
		// 電車１人当たり：A円
		int trainA = sc.nextInt();
		// タクシーN人：B円
		int taxiSumB = sc.nextInt();

		int trainSumA = numN*trainA;
		System.out.println((taxiSumB < trainSumA) ? taxiSumB : trainSumA);
		sc.close();
	}
}
/tmp/hf-datasets-cache/medium/datasets/42704881117311-config-parquet-and-info-qiankunmu-Project_CodeNet-896c9d36/hub/datasets--qiankunmu--Project_CodeNet_Python800_and_Java250/snapshots/c899fde44a77ba1cc14973ed3de064e4ff3aadc7/Project_CodeNet_Java250.tar.gz