function Main(input) {

  var input = input.split("\n");
  var arya = input[0].split(" ").map(val => parseInt(val, 10)).slice(0, 3);
  var n = arya[0];
  var a = arya[1];
  var b = arya[2];
  var result = 0;

  if (n*a < b) {
    console.log(n*a);
  } else {
    console.log(b);
  }


}
Main(require("fs").readFileSync("/dev/stdin", "utf8"));