function main(input) {
  input = input.split(' ');
  let N = parseInt(input[0]);
  let A = parseInt(input[1]);
  let B = parseInt(input[2]);
  if(N * A <= B){
    console.log(N*A);
  } else {
    console.log(B);
  }
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'))