Improved version of Rob's answer (in that you don't need to specify the full path of your executable), and also updated for Swift 3:
import Foundation
func execCommand(command: String, args: [String]) -> String {
    if !command.hasPrefix("/") {
        let commandFull = execCommand(command: "/usr/bin/which", args: [command]).trimmingCharacters(in: CharacterSet.whitespacesAndNewlines)
        return execCommand(command: commandFull, args: args)
    } else {
        let proc = Process()
        proc.launchPath = command
        proc.arguments = args
        let pipe = Pipe()
        proc.standardOutput = pipe
        proc.launch()
        let data = pipe.fileHandleForReading.readDataToEndOfFile()
        return String(data: data, encoding: String.Encoding.utf8)!
    }
}