function Main(input) {
    input = input.split(' ').map(n => parseInt(n));
    n = input[0];
    a = input[1];
    b = input[2];
    p1 = a * n;
    p2 = b;
    if(p1 <= p2) {
        console.log(p1);
    } else{
        console.log(p2);
    }

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