"use strict";

function main(arg) {
    arg = arg.split("\n")[0].split(" ").map(n=>parseInt(n));
    const N = arg[0];
    const A = arg[1];
    const B = arg[2];
    
    console.log(A * N < B ? A * N : B);
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));