C#, 638 chars
using System;
using System.Linq;
using System.Text.RegularExpressions;
class C
{
static void Main()
{
int i=0,j;
var p = Console.In.ReadToEnd()
.Split('\n')
.SelectMany(
r =>
{
i++; j =0;
return Regex.Matches(r, "\\s+(\\d+)").Cast()
.Select(m => { j += m.Length; return new { X = j, Y = i-1, N = int.Parse(m.Groups[1].Value) }; });
}
).OrderBy(a=>a.N).ToList();
var W = p.Max(a => a.X)+1;
var k = new char[W*i+W];
i = 0;
while (i < p.Count)
{
var b = p[i > 0 ? i - 1 : 0]; var a = p[i];
int h = a.Y - b.Y, w = a.X - b.X;
var s = "|-/\\"[h == 0 ? 1 : w == 0 ? 0 : h / w > 0 ? 3 : 2];
while ((h | w) != 0) { k[b.X + w + W * (b.Y + h)] = s; h -= h.CompareTo(0); w -= w.CompareTo(0); }
k[a.X + a.Y * W] = '+';
k[W * ++i] = '\n';
}
Console.Write(k);
}
}