C :

#include<stdio.h>

int main()
{
	int n,k,c;
	while(scanf("%d",&n)!=EOF)
	{
		k=c=1;
		while(k<n)
		{
			k=k*10+1;
			c++;
		}
		while(k%n)
		{
			k=k%n*10+1;
			c++;
		}
		printf("%d\n",c);
	}
	return 0;
}

C++ :

#include<stdio.h>

int main()
{
	int n,k,c;
	while(scanf("%d",&n)!=EOF)
	{
		k=c=1;
		while(k<n)
		{
			k=k*10+1;
			c++;
		}
		while(k%n)
		{
			k=k%n*10+1;
			c++;
		}
		printf("%d\n",c);
	}
	return 0;
}

Java :

import java.math.BigInteger;
import java.util.Scanner;

public class Main
{
	public static void main(String args[])
	{
		Scanner cin = new Scanner(System.in);
		while(cin.hasNext()){
			BigInteger n;
			n=cin.nextBigInteger();
			if(n.equals(BigInteger.ONE)){
				System.out.println(1);
				continue;
			}
			BigInteger tem=BigInteger.valueOf(11);
			int f=2;
			while(!tem.mod(n).equals(BigInteger.ZERO)){
				f++;
				tem=tem.multiply(BigInteger.valueOf(10)).add(BigInteger.ONE);
			}
			System.out.println(f);
		}
	}
}