An engine includes a control means that calculates a standard injection time based on the target number of revolutions of the engine and a standard injection amount being a fuel injection amount of the engine and corrects the standard injection time based on at least a correction amount, and a fuel injection control unit calculates a coolant correction amount based on the target number of revolutions, the standard injection amount, and a coolant temperature of the engine, and when the coolant temperature is less than a first predetermined temperature, the fuel injection control unit corrects the standard injection time only based on the coolant correction amount.