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