By adding a periodic signal of the fluctuating frequency to the gain-noise model of the single-mode lasers, we calculate the correlated function and power spectrum of the output laser intensity and discuss the variation of signal-to-noise ratio(SNR) with the intensity of the noise and system parameter. The result indicates that the SNR shows stochastic resonances with the variations of intensities of the frequency noise, pump noise and quantum noise, also with the variations of gain coefficient and loss coefficient.