Given a number N, find the total numbers, less than or equal to N which have at-least one common factor with N other than 1.

**Input:**

The first line of input contains an integer T denoting the no of test cases. Then T test cases follow. Each test case consist of an integer N.

**Output:**

For each test case output an integer denoting the count of numbers, less than or equal to N having at-least one common factor between the number and N except 1.

**Constraints:**

1<=T<=100000

1<=N<=1000000

**Example:
Input:**

3

1

6

15

0

4

7

For N=1, there are no numbers satisfying the condition.

For N=6, the 4 numbers having a common factor between them and 6 are : 2, 3, 4 & 6

For N=15, the 7 numbers having a common factor between them and 15 are : 3, 5, 6, 9, 10, 12, 15

Pavan Kate | 117 |

Ravneet Baansal | 108 |

bentlynixon | 107 |

mhao | 100 |

Payback. | 99 |

tyaglot | 447 |

bentlynixon | 320 |

taobupt | 274 |

thurki | 269 |

Ravneet Baansal | 261 |

akhayrutdinov | 3966 |

sanjay05 | 3366 |

Michael Riegger | 2133 |

Quandray | 2103 |

Jasleen Kaur 2 | 2012 |